If 1 x + 1 3 x = 5, what is the value of 3 x 4

Initially, you convert it to a single fraction by keeping the denominator the same: 1 x + 1 3 x = 5 ( 3 + 1 ) 3 x = 5 4 3 x = 5It is given that we need to find the valus of 3 x 4 . We can see that the previous working, 4 3 x = 5 is almost similar to the question so you can flip upside down the working to make it into 3 x 4 =:To make it easier to understand, divide both sides by 1 as follows: 4 / 3 x = 5 1 ÷ ( 4 / 3 x ) = 1 ÷ 5 3 x 4 = 1 5

We have an answer to "If 1 x + 1 3 x =..."

High School
Algebra
Pre-Algebra
Fractions

Leandro Acosta

Answered question

2022-12-20

\frac{1}{x} + \frac{1}{3 x} = 5

, what is the value of

\frac{3 x}{4}

Answer & Explanation

Mauricio Liu

Beginner2022-12-21Added 6 answers

Initially, you convert it to a single fraction by keeping the denominator the same:

\frac{1}{x} + \frac{1}{3 x} = 5 \frac{(3 + 1)}{3 x} = 5 \frac{4}{3 x} = 5

It is given that we need to find the valus of

\frac{3 x}{4}

. We can see that the previous working,

\frac{4}{3 x} = 5

is almost similar to the question so you can flip upside down the working to make it into

\frac{3 x}{4} =

:
To make it easier to understand, divide both sides by 1 as follows:

4 / 3 x = 5 1 \div (4 / 3 x) = 1 \div 5 \frac{3 x}{4} = \frac{1}{5}

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