MATH · UNIT RATE

Unit Rate Calculator

Calculate unit rates and their inverses. Enter a quantity, the "per" amount, and your unit labels to get the rate per unit and the inverse rate.

Quantities

e.g. 60 (total miles)

e.g. 2 (hours)

Unit Labels (optional)
Scale (optional)

e.g. 5 → how many miles in 5 hours?

÷ Unit Rate
miles per hour
30
30 miles per hour
Inverse rate0.0333 hour per miles
× Scaled Result
150 miles in 5 hour
150

About This Calculator

Calculate the unit rate between any two quantities — speed, price, fuel economy, density, or anything else measured "per something." Enter the quantity, the amount it spans, and optional unit labels. The calculator gives you the rate per one unit and its inverse, along with a scaled version for multi-unit comparisons.

How It Works

Divide the quantity by the "per" amount to get the unit rate. Divide 1 by the unit rate to get the inverse rate. Multiply the unit rate by an optional scale factor to project across larger spans — for example, 30 miles/hour × 3 hours = 90 miles. All results use math-trim formatting (no unnecessary decimal places).

The Formula

r = quantity / per Inverse = 1 / r Scaled = r × scale

r
unit rate (quantity per one unit)
quantity
the measured amount (e.g., 60 miles)
per
the divisor unit count (e.g., 2 hours)
scale
optional multiplier for projecting the rate (e.g., 5 hours)

Frequently Asked Questions

What is a unit rate?
A unit rate compares two quantities where one of them is always 1. For example, "30 miles per hour" is a unit rate — 30 miles per 1 hour. Converting "60 miles in 2 hours" to a unit rate divides both sides by 2, giving 30 miles/hour.
What is the inverse rate used for?
The inverse rate flips the relationship. If the rate is 30 miles/hour, the inverse is 1/30 hours/mile — the time to travel one mile. This is useful when you know the rate and want to find the "per" quantity for a given result.
Can I use this for price per unit comparisons?
Yes. Enter the total price as the quantity, the number of units as "per", and use labels like "$" and "oz". The unit rate gives you the price per ounce, making it easy to compare differently-sized packages.
What does the scale field do?
The scale field multiplies the unit rate by an extra factor. For example, if the rate is 30 miles/hour and you set scale to 4 hours, the scaled result is 120 miles — the distance covered in 4 hours at that rate.