Do these ratios form a proportion? 14 forks to 16 spoons 7 forks to 8 spoons Choices: (A)yes (B)no

Write Ratio in Fraction Form: Step 1: Write the ratio 14 forks to 16 spoons in fraction form. text(Number of forks) / text(Number of spoons) = 14 / 16 Fraction form of the first ratio: 14 / 16 Simplify Fractions: Step 2: Write the ratio 7 forks to 8 spoons in fraction form. text(Number of forks) / text(Number of spoons) = 7 / 8 Fraction form of the second ratio: 7 / 8 Compare Simplified Fractions: Step 3: Simplify the fractions to see if they are equivalent. First fraction: 14 / 16 = 7 / 8 (Divide both numerator and denominator by 2) Second fraction: 7 / 8 (Already simplified) Both fractions simplify to 7 / 8. Step 4: Compare the simplified fractions. Since both fractions simplify to 7 / 8, they are equivalent. Therefore, the ratios form a proportion.

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Do these ratios form a proportion? $\newline$ $14$ forks to $16$ spoons $\newline$ $7$ forks to $8$ spoons $\newline$ 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

14

forks to

16

spoons

\newline

7

forks to

8

spoons

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Write Ratio in Fraction Form: Step $1$ : Write the ratio $14$ forks to $16$ spoons in fraction form. $\newline$ $\text{Number of forks} / \text{Number of spoons} = \frac{14}{16}$ $\newline$ Fraction form of the first ratio: $\frac{14}{16}$
Simplify Fractions: Step $2$ : Write the ratio $7$ forks to $8$ spoons in fraction form. $\text{Number of forks} / \text{Number of spoons} = \frac{7}{8}$ Fraction form of the second ratio: $\frac{7}{8}$
Compare Simplified Fractions: Step $3$ : Simplify the fractions to see if they are equivalent. $\newline$ First fraction: $\frac{14}{16} = \frac{7}{8}$ (Divide both numerator and denominator by $2$ ) $\newline$ Second fraction: $\frac{7}{8}$ (Already simplified) $\newline$ Both fractions simplify to $\frac{7}{8}$ .
Compare Simplified Fractions: Step $3$ : Simplify the fractions to see if they are equivalent. $\newline$ First fraction: $\frac{14}{16} = \frac{7}{8}$ (Divide both numerator and denominator by $2$ ) $\newline$ Second fraction: $\frac{7}{8}$ (Already simplified) $\newline$ Both fractions simplify to $\frac{7}{8}$ . Step $4$ : Compare the simplified fractions. $\newline$ Since both fractions simplify to $\frac{7}{8}$ , they are equivalent. $\newline$ Therefore, the ratios form a proportion.