Find out the answer to "The solution of the given proportion. Given: 38=b10"

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Quentin Johnson

Answered question

2021-12-31

The solution of the given proportion.
Given:

\frac{3}{8} = \frac{b}{10}

Answer & Explanation

Jillian Edgerton

Beginner2022-01-01Added 34 answers

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

\frac{3}{8} = \frac{b}{10}

3 (10) = 8 (b)

30 = 8 b

\frac{8 b}{8} = \frac{30}{8}

b = 3.75

intacte87

Beginner2022-01-02Added 42 answers

Step 1

\frac{3}{8} = \frac{b}{10}

Multiply both sides by 10.

\frac{3}{8} \times 10 = b

Express

\frac{3}{8} \times 10

as a single fraction.

\frac{3 \times 10}{8} = b

Multiply 3 and 10 to get 30.

\frac{30}{8} = b

Reduce the fraction

\frac{30}{8}

to lowest terms by extracting and canceling out 2.

\frac{15}{4} = b

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

b = \frac{15}{4} = 3 \frac{3}{4} = 3.75

karton

Expert2022-01-04Added 613 answers

Step 1
Given equation: $\frac{3}{8} = \frac{b}{10}$
The cross product is
$3 \times 10 = 8 \times b$
Solving for b
$b = \frac{3 \times 10}{8}$
and reducing
b=3.75

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