Bowman Ford
09/19/2023 · Junior High School
A) \( \frac{11}{12}=\frac{33}{36} \) B) \( \frac{7}{8}=\frac{35}{48} \) C) \( \frac{3}{9}=\frac{4}{12} \)
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Step-by-step Solution
To determine whether the given fractions are equal, we can simplify or cross-multiply them.
A) \( \frac{11}{12}=\frac{33}{36} \)
Cross-multiplying:
\( 11 \times 36 = 396 \)
\( 12 \times 33 = 396 \)
Since both products are equal, \( \frac{11}{12} = \frac{33}{36} \) is true.
B) \( \frac{7}{8}=\frac{35}{48} \)
Cross-multiplying:
\( 7 \times 48 = 336 \)
\( 8 \times 35 = 280 \)
Since \( 336 \neq 280 \), \( \frac{7}{8} \neq \frac{35}{48} \) is false.
C) \( \frac{3}{9}=\frac{4}{12} \)
Simplifying both fractions:
\( \frac{3}{9} = \frac{1}{3} \)
\( \frac{4}{12} = \frac{1}{3} \)
Since both simplified fractions are equal, \( \frac{3}{9} = \frac{4}{12} \) is true.
In summary:
A) True
B) False
C) True
Quick Answer
A) True
B) False
C) True
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