Unit rates and ratios of fractions matching worksheet answers 2025

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Ratios are a type of fraction. Equivalent fractions are always created by multiplying both the numerator and denominator with a common factor, or by dividing our a common factor. For example: 1/2 * (3/3) = 3/6 or you can start with 3/6 and remove the common factor of 3 to get back to 1/2. Hope this helps.
1:19 2:37 For this rate we need to divide 98. By one-half. When dividing with fractions. We change theMoreFor this rate we need to divide 98. By one-half. When dividing with fractions. We change the division expression to a multiplication.
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.
So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
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The formula is: (distance2- distance1)/(time2 - time1). Substitution yields the expression: (600-0)/(2-0). Then use order of operations to get the fraction 600/2 which is 300 mph. Remember that rate of change will always have units involved.
To rewrite 3/4 : 1/8 as a unit rate, we can divide the numerator by the denominator. Therefore, the unit rate is (3/4) (1/8) = (3/4) x (8/1) = 24/4 = 6.
You can write any rate as a unit rate by reducing the fraction so it has a 1 as the denominator or second term. As a unit rate example, you can show that the unit rate of 120 students for every 3 buses is 40 students per bus. You could also find the unit rate by dividing the first term of the ratio by the second term.

unit rates and ratios of fractions independent practice worksheet answer key pdf