Unit Rate Calculator

Now comparing two quantities and units to perform the division is easy because of the unit rate calculator with steps.

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Hour:
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Table of Contents:

What is the Unit Rate Calculator:

Unit rate calculator is an online tool that helps you to compare two quantities and units to make it a fraction to perform the division for the solution of unit rate. Our tool evaluates the comparisons with the large or complex quantities and units in a few seconds.

Unit Rate Calculator with Steps

Unit rates calculator is a great source of solving unit rate problems quickly as it is used in everyday life, science, business, and many other fields to analyze and compare the given quantities and to know how to calculate unit rates easily.

What is Unit Rate?

A unit rate is a type of fraction or ratio in which the second quantity is written in one unit to simplify the comparison between different quantities. It tells the information about how much of one item or quantity exists per one unit to another item or quantity after comparing them.

Unit rate methods are used in various contexts such as for speed (miles per hour), cost (price per item), density (people per square mile), and more. It helps in making decisions after analyzing, comparing different quantities, and solving practical problems in everyday life.

What is the Formula for the Unit Rate?

The unit rate formula consists of two quantities that have two different units. In the formula used by the Unit rate calculator, there is a quantity 1 and quantity 2 where you can add the number and their unit as the given,

$$ Unit\; Rate \;=\; \frac{Quantity\;1}{Quantity\;2} $$

How to Calculate a Unit Rate?

The unit rate can be calculated easily if you know the difference between the rate and the unit rate. Most people do not know their differences and they solve unit rate problems with the rate method.

Let us observe how the calculator for unit rate uses the unit method for different problems without creating confusion so that you can easily distinguish it and understand its method in steps.

Step 1:

Identify the two quantities that are given for comparison of the unit rate.

Step 2:

Arrange the given quantities in the form of fractions in which the first quantity and its unit become the numerator and the second quantity is the denominator.

Step 3:

Divide the Numerator by the Denominator with the cross-pounding value of the denominator to make the denominator value 1 as per the unit rate condition.

Step 4:

After dividing the left numerator its unit becomes the solution of unit rate problems.

Solved Example of Unit Rate:

Let us see solved examples of unit rate problems to better understand how the Unit rate calculator solves the unit rate problems.

Example:

Juliana was paid \$384 last week for working 32 hours. So find out what’s her hourly pay rate?

Solution:

Given data

$$ \$384 \;last\;week\;for\;32\;hours $$

Write the quantity and unit in the form of a fraction,

$$ \frac{\$384}{32\;hours} $$

Divide and multiply 32 in the above fraction

$$ \frac{\$ 12}{1\;hour} $$

Now it left 1 in the denominator as per the condition of unit rate, the solution becomes

$$ \$12\;per\; hour $$

Example:

Kavin drives his car 455 miles using 14 gallons of gasoline. Find out how many miles per gallon his car gets.

Solution:

Given data

$$ 455\; miles\; to\; 14\; gallons\; of\; gas $$

Write the quantity and unit in the form of the fraction,

$$ \frac{455\;miles}{14\;gallons} $$

Divide and multiply 14 in the above fraction,

$$ \frac{32.5\;miles}{1\;gallon} $$

Now it left 1 in the denominator as per the condition of unit rate, the solution becomes,

$$ 32.5 \;milles/gallon\; or\; 32.5\; mpg $$

How to Use Unit Rate Calculator?

The unit rates calculator has a simple layout so that you can calculate the unit rate problems from the given quantity. Follow our instructions before finding the solution in it and you get an amazing experience every time. These instructions are:

  • Enter the value of the first quantity in the input field.
  • Enter the value of the second quantity in the next input field.
  • Enter the unit of the first quantity in the input field.
  • Enter the unit of the second quantity in its required input field.
  • Review your input value before pressing the calculate button so that you get the accurate solution in the calculator for unit rate.
  • Click on the “Calculate” button to get the solution of the unit rate problem.
  • Click on the “Recalculate” button to get a new page for more computation of unit rate questions.
  • If you want to check the unit rate solver then you should first try out the load example.

Final Result of Unit Rates Calculator:

Unit rate Calculator gives you a solution to your given quantity problem after you click the calculated button. It may contain the following:

  • Result Option:

Result option provides you with solutions for unit rate problems.

  • Possible Steps:

Possible steps provide you with solutions in which the complete calculation process is mentioned in steps for unit rate problems

Advantages of Using Calculator for Unit Rate:

Unit rate fraction calculator provides you millions of advantages whenever you use it to calculate the unit rate question and get its solution. These advantages are:

  • Unit rate solver saves the time and energy that you spend while finding the unit rate questions manually.
  • It is a handy tool that can solve different types of unit rate problems.
  • PineCalculator unit rates calculator has a user-friendly interface so that allows you to easily use it for calculation, you do not need to become an expert.
  • It provides you the precise results as per your given input value for the unit rate question solution.
  • It is a learning tool that gives you a way to get knowledge about unit rate problems and their solutions so that you get familiar with the concept of unit rate.
  • Unit rate Calculator is a free online tool that is available 24 hours on your device, you just search it online and get access to it without any trouble.
Related References
Frequently Ask Questions

What is the difference between rate and unit rate

The terms "rate" and "unit rate" have a relationship but they have distinct meanings and usage in mathematics and scientific fields.

Rate:

A rate is a ratio between two quantities related to each other but expressed with different units. It makes comparisons and tells how much or less of one quantity per amount exists in another quantity.

Unit Rate:

A unit rate is a specific rate type where the second quantity is represented in one unit. It simplifies the comparison and makes the rate a ratio to a single unit of the second quantity.

On the other hand, the rate can compare any amount of two quantities (e.g. 150 miles in 3 hours), but the Unit Rate compares one unit of the second quantity (e.g., 50 miles per hour).

Why is it important to use unit rates?

Unit rates are important in daily life as they simplify the comparisons between different quantities that help you understand their usage. Its applications are:

  1. Unit rates reduce the complexity of ratios into a standard form and compare different quantities.
  2. The unit rate method is helpful for individuals in providing a clear comparison of items that helps you in decision-making.
  3. It helps in measuring the budgeting and financial planning after knowing the costs and expenses.
  4. It provides a standardized measure when it analyzes the different quantities as per their efficiency during comparisons.
  5. It converts complex data into an easy and understandable way by reducing it on a per-unit basis.
  6. This process is important for simplifying the comparisons between brands, decision-making, managing resources, and measurements of everyday life. It makes the complex information more accessible and actionable to everyone.

How to calculate the unit rate for constant third-order?

For the calculation of the unit rate for a constant, you need to take a cubic relationship of variables with a constant. Then one variable is proportional to the cube of another variable. Suppose a cubic relationship where k is the proportionality constant and y is proportional to the cube of x as

$$ y \;=\; kx^3 $$

Evaluate the constant k value, by keeping separate from the rest of the equation

$$ k \;=\; yx^3 $$

Then for the value of y take x=1, the proportionality constant k becomes

$$ For\; x \;=\; 1 $$

$$ y \;=\; k β‹… 1^3 $$

$$ y \;=\; k $$

What are the example of unit rate in daily life?

Unit rates are commonly used in budgeting and finance-related issues that you encounter in everyday life. Here are some practical examples:

Cost per Item or Grocery Shopping:

For instance, If 4 apples cost $ 2, the cost per apple is:

$$ Cost\; per\; Apple \;=\; \frac{2\; dollars}{4\; apples} $$

$$ =\; 0.5\; dollars\; per\; apple $$

This unit rate helps consumers to compare the prices of different items or packages.

  • Fuel Efficiency or Fuel Consumption:

If a car uses 20 gallons of fuel to travel 100 miles, the fuel efficiency is:

$$ Fuel\; Efficiency \;=\; \frac{100\; miles}{20\; gallons} $$

$$ =\; 50\; miles\; per\; gallon $$

The unit rate helps drivers to understand how fuel-efficient their vehicles are in day-to-day life.

  • Wages especially hourly Wage:

If a person earns $100 for 10 hours of work, the hourly wage is:

$$ Hourly\; Wage \;=\; \frac{100\; dollars}{10\; hours} $$

$$ =\; 10\; dollars\; per\; hour $$

This unit rate helps employees and employers to know their earnings pattern per hour they worked.

Hence, it simplifies the complex ratios makes it easier to compare for different scenarios, and helps to become a better decision-maker in everyday life.

A store sees 120 customers in 8 hours. What is the unit rate ?

For the calculation of the unit rate of customers, divide the total number of customers by the total hours.

Given that:

$$ Total\; customers \;=\; 120 $$

$$ Total\; hours \;=\; 8 $$

The formula for the unit rate is,

$$ Unit\; Rate \;=\; \frac{Total\; Customers}{Total\; Hours} $$

Put the given value in the formula,

$$ \frac{120\; customers Γ· 8}{8\; hours Γ· 8} $$

$$ =\; \frac{15\; customers}{1\; hour} $$

$$ =\; \frac{15 customer}{hour} $$

$$ =\; 15\; customer\; per\; hour $$

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