Whether the ratios 37,and 914 are equivalent ratios.

Question

Whether the ratios 37,and 914 are equivalent ratios.

Linda Birchfield · Accepted Answer

Calculation:
In order to check whether the fractions

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

are equivalent or no, first reduce both the fractions in the simplest form. And then check whether both fractions are equal or no.
Here observe that in the first fraction

\frac{3}{7}

, there is no other common factor than 1. So, it cannot be simplified further.
Also observe that in the second fraction

\frac{9}{14}

, there is no other common factor than 1. So, it cannot be simplified further.
So, in reduced form the ratios are

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

.
Since both the ratios have different numerator and denominators, so they are not equivalent.
Thus, the given ratios are not equivalent.

Terry Ray · Accepted Answer

Step 1  37=914  Least common multiple of 7 and 14 is 14. Convert 37 and 914, to fractions with denominator 14.  614=914  Compare 614 and 914  Answer: False

Whether the ratios \frac{3}{7}, and\ \frac{9}{14} are equivalent ratios.

Answered question

Answer & Explanation

New Questions in Pre-Algebra