Do these ratios form a proportion? 16 green cups for every 14 blue cups 19 green cups for every 18 blue cups Choices: (A)yes (B)no

Write Ratio in Fraction Form: Write the ratio of 16 green cups to 14 blue cups in fraction form. 16 green cups / 14 blue cups = 16 / 14 Simplify the fraction: 16 / 14 = 8 / 7Write Another Ratio in Fraction Form: Write the ratio of 19 green cups to 18 blue cups in fraction form. 19 green cups / 18 blue cups = 19 / 18 This fraction cannot be simplified further.Compare Simplified Fractions: Compare the simplified fractions to check if they form a proportion. First fraction: 8 / 7 Second fraction: 19 / 18 Check if 8/7 = 19/18 by cross-multiplying. 8 * 18 = 144 7 * 19 = 133 Since 144 ≠ 133, the fractions do not form a proportion.

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Do these ratios form a proportion? $\newline$ $16$ green cups for every $14$ blue cups $\newline$ $19$ green cups for every $18$ blue cups $\newline$ 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

16

green cups for every

14

blue cups

\newline

19

green cups for every

18

blue cups

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Write Ratio in Fraction Form: Write the ratio of $16$ green cups to $14$ blue cups in fraction form. $\newline$ $16$ green cups / $14$ blue cups = rac{16}{14} $\newline$ Simplify the fraction: rac{16}{14} = rac{8}{7}
Write Another Ratio in Fraction Form: Write the ratio of $19$ green cups to $18$ blue cups in fraction form. $\newline$ $19$ green cups / $18$ blue cups = rac{19}{18} $\newline$ This fraction cannot be simplified further.
Compare Simplified Fractions: Compare the simplified fractions to check if they form a proportion. $\newline$ First fraction: $\frac{8}{7}$ $\newline$ Second fraction: $\frac{19}{18}$ $\newline$ Check if $\frac{8}{7} = \frac{19}{18}$ by cross-multiplying. $\newline$ $8 \times 18 = 144$ $\newline$ $7 \times 19 = 133$ $\newline$ Since $144 \neq 133$ , the fractions do not form a proportion.