Are these ratios equivalent? 10 pies : 7 cakes 20 pies : 14 cakes Choices: (A)yes (B)no

Convert to fraction: Convert the first ratio into a fraction. 10 pies : 7 cakes can be written as 10/7.Simplify second fraction: Convert the second ratio into a fraction. 20 pies : 14 cakes can be written as 20/14.Compare simplified fractions: Simplify the second fraction. 20/14 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 20 ÷ 2 = 10 and 14 ÷ 2 = 7, so 20/14 simplifies to 10/7.Compare the simplified fractions. Both fractions are 10/7. Since they are the same, the ratios are equivalent.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Are these ratios equivalent? $\newline$ $10$ pies : $7$ cakes $\newline$ $20$ pies : $14$ cakes $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

Home

Math Problems

Grade 7

Equivalent ratios: word problems

Full solution

Q. Are these ratios equivalent?

\newline

10

pies :

7

cakes

\newline

20

pies :

14

cakes

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Convert to fraction: Convert the first ratio into a fraction. $10$ pies : $7$ cakes can be written as $\frac{10}{7}$ .
Simplify second fraction: Convert the second ratio into a fraction. $20$ pies : $14$ cakes can be written as $\frac{20}{14}$ .
Compare simplified fractions: Simplify the second fraction. $\newline$ $\frac{20}{14}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $20 \div 2 = 10$ and $14 \div 2 = 7$ , so $\frac{20}{14}$ simplifies to $\frac{10}{7}$ .
Compare simplified fractions: Simplify the second fraction. $\newline$ $\frac{20}{14}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $20 \div 2 = 10$ and $14 \div 2 = 7$ , so $\frac{20}{14}$ simplifies to $\frac{10}{7}$ .Compare the simplified fractions. $\newline$ Both fractions are $\frac{10}{7}$ . $\newline$ Since they are the same, the ratios are equivalent.