Find out the answer to "The solution of the given proportion. Given: 710=m14"

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

hvacwk

Answered question

2021-12-28

The solution of the given proportion.
Given:

\frac{7}{10} = \frac{m}{14}

Answer & Explanation

Esta Hurtado

Beginner2021-12-29Added 39 answers

Calculation:
The given ratios can be simplified further by doing cross product:

\frac{7}{10} = \frac{m}{14}

14 (7) = 10 (m)

10 m = 98

\frac{10 m}{10} = \frac{98}{10}

m = 9.8

peterpan7117i

Beginner2021-12-30Added 39 answers

Step 1

\frac{7}{10} = \frac{m}{14}

Multiply both sides by 14.

\frac{7}{10} \times 14 = m

Express

\frac{7}{10} \times 14

as a single fraction

\frac{7 \times 14}{10} = m

Multiply 7 and 14 to get 98.

\frac{98}{10} = m

Reduce the fraction

\frac{98}{10}

to lowest terms by extracting and canceling out 2.

\frac{49}{5} = m

Swap sides so that all variable terms are on the left hand side.

m = \frac{49}{5} = 9 \frac{4}{5} = 9.8

karton

Expert2022-01-04Added 613 answers

Step 1
Given: $\frac{7}{10} = \frac{m}{14}$
The cross product is
$7 \times 14 = 10 \times m$
Solving for m
$m = \frac{7 \times 14}{10}$
and reducing
m=9.8

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