Solved: "Whether the given ratios are equivalent ratios or..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

kihanja20

Answered question

2021-12-14

Whether the given ratios are equivalent ratios or not.
Given:

\frac{3}{7} and \frac{9}{14}

Answer & Explanation

Stuart Rountree

Beginner2021-12-15Added 29 answers

Calculation:
Equivalent ratios are two ratios which have same relationship between the numbers.
Multiply both numbers of first ratio by the second number of second ratio and multiply both numbers of second ratio by second number of first ratio.
The given ratios can be simplified further as:

= \frac{3 \times 14}{7 \times 14}

= \frac{42}{98}

and

= \frac{9 \times 7}{14 \times 7}

= \frac{63}{98}

As, both the results are not equal. The given ratios are not equivalent.

Joseph Lewis

Beginner2021-12-16Added 43 answers

Step 1
Given ratios:

\frac{3}{7}

and

\frac{9}{14}

Calculation:

= \frac{3 \times 14}{7 \times 14}

= \frac{42}{98}

and

= \frac{9 \times 7}{14 \times 7}

= \frac{63}{98}

The ratios are not equivalent.

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