Do these ratios form a proportion? 3 teachers to 12 students 4 teachers to 16 students Choices: (A)yes (B)no

Write Ratio in Fraction: Write the ratio 3 teachers to 12 students in fraction form. text(Teachers) / text(Students) = 3 / 12 Fraction form of the first ratio: 3 / 12Simplify Ratios: Write the ratio 4 teachers to 16 students in fraction form. text(Teachers) / text(Students) = 4 / 16 Fraction form of the second ratio: 4 / 16Compare Simplified Fractions: Simplify both fractions to check if they are equivalent. First fraction: 3 / 12 = 1 / 4 (Divide both numerator and denominator by 3) Second fraction: 4 / 16 = 1 / 4 (Divide both numerator and denominator by 4) Compare the simplified fractions. Both fractions simplify to 1 / 4. Since they are equal, the ratios form a proportion.

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Do these ratios form a proportion? $\newline$ $3$ teachers to $12$ students $\newline$ $4$ teachers to $16$ students $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Grade 7

Do the ratios form a proportion: word problems

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Q. Do these ratios form a proportion?

\newline

3

teachers to

12

students

\newline

4

teachers to

16

students

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Write Ratio in Fraction: Write the ratio $3$ teachers to $12$ students in fraction form. $\newline$ $\text{Teachers} / \text{Students} = \frac{3}{12}$ $\newline$ Fraction form of the first ratio: $\frac{3}{12}$
Simplify Ratios: Write the ratio $4$ teachers to $16$ students in fraction form. $\text{Teachers} / \text{Students} = \frac{4}{16}$ Fraction form of the second ratio: $\frac{4}{16}$
Compare Simplified Fractions: Simplify both fractions to check if they are equivalent. $\newline$ First fraction: $\frac{3}{12} = \frac{1}{4}$ (Divide both numerator and denominator by $3$ ) $\newline$ Second fraction: $\frac{4}{16} = \frac{1}{4}$ (Divide both numerator and denominator by $4$ )
Compare Simplified Fractions: Simplify both fractions to check if they are equivalent. $\newline$ First fraction: $\frac{3}{12} = \frac{1}{4}$ (Divide both numerator and denominator by $3$ ) $\newline$ Second fraction: $\frac{4}{16} = \frac{1}{4}$ (Divide both numerator and denominator by $4$ ) Compare the simplified fractions. $\newline$ Both fractions simplify to $\frac{1}{4}$ . Since they are equal, the ratios form a proportion.