Do these ratios form a proportion? 5 professors : 2 students 20 professors : 8 students Choices: (A)yes (B)no

Write Ratio in Fraction Form: Write the ratio 5 professors to 2 students in fraction form. 5 professors / 2 students = 5/2 Fraction form of the first ratio: 5 / 2 Write Another Ratio: Write the ratio 20 professors to 8 students in fraction form. 20 professors / 8 students = 20 / 8 Fraction form of the second ratio: 20 / 8 Simplify Fraction: Simplify the fraction 20 / 8. 20 / 8 = (20 ÷ 4) / (8 ÷ 4) = 5 / 2 Simplified second fraction: 5 / 2 Compare Simplified Fractions: Compare the simplified fractions. First fraction: 5 / 2 Second fraction: 5 / 2 Since both fractions are equal, the ratios form a proportion.

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Do these ratios form a proportion? $\newline$ $5$ professors : $2$ students $\newline$ $20$ professors : $8$ students $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Math Problems

Grade 7

Do the ratios form a proportion: word problems

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Q. Do these ratios form a proportion?

\newline

5

professors :

2

students

\newline

20

professors :

8

students

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Write Ratio in Fraction Form: Write the ratio $5$ professors to $2$ students in fraction form. $\newline$ $\frac{5 \text{ professors}}{2 \text{ students}} = \frac{5}{2}$ $\newline$ Fraction form of the first ratio: $\frac{5}{2}$
Write Another Ratio: Write the ratio $20$ professors to $8$ students in fraction form. $\newline$ $20$ professors / $8$ students = $\frac{20}{8}$ $\newline$ Fraction form of the second ratio: $\frac{20}{8}$
Simplify Fraction: Simplify the fraction $20 / 8$ . $\newline$ $20 / 8 = (20 \div 4) / (8 \div 4) = 5 / 2$ $\newline$ Simplified second fraction: $5 / 2$
Compare Simplified Fractions: Compare the simplified fractions. $\newline$ First fraction: $\frac{5}{2}$ $\newline$ Second fraction: $\frac{5}{2}$ $\newline$ Since both fractions are equal, the ratios form a proportion.