Question

7 times as much as the sum of 1/3 and 4/5

Answer 1

$7( \frac{1}{3} + \frac{4}{5} )$

$=7( \frac{1(5)}{3(5)} + \frac{4(3)}{5(3)} )$

$=7( \frac{5}{15} + \frac{12}{15} )$

$=7( \frac{17}{15})$

$=\frac{7}{1} ( \frac{17}{15})$

$=\frac{119}{15}$

$= 7\frac{14}{15}$ ≈ 7.93

Answer 2

¹¹⁹/₁₅ or 7¹⁴/₁₅ or 7.93

Further explanation

The Problem:

• 7 times as much as the sum of $\frac{1}{3}$ and $\frac{4}{5}$
• Write an expression to match, and then solve it.

The Process:

Here are some early expressions that need attention.

• one-third is $\boxed{\frac{1}{3}}$
• four-fifth is $\boxed{\frac{4}{5}}$
• the sum of $\frac{1}{3} \ and \ \frac{4}{5}$ is $\boxed{\frac{1}{3} + \frac{4}{5}}$

Let us write an expression to match for 7 times as much as the sum of $\frac{1}{3}$ and $\frac{4}{5}$

$\boxed{\boxed{ \ 7 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }}$

Let us calculate the operation in parentheses at first.

$\boxed{\frac{1}{3} + \frac{4}{5}}$

A least common multiple of 3 and 5 is 15. We use to equate the denominator.

$\boxed{\frac{1 \times 5}{3 \times 5} + \frac{4 \times 3}{5 \times 3}}$

$\boxed{\frac{5}{15} + \frac{12}{15}}$

$\boxed{\frac{17}{15}}$

And now we solve the full expression.

$\boxed{ \ = 7 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }$

$\boxed{ \ = 7 \times \frac{17}{15} \ }$

We do not cross out 7 and 15 because they both cannot be divided.

$\boxed{ \ = \frac{119}{15} \ }$

$\boxed{\boxed{ \ = \frac{119}{15} \ }}$

In mixed fraction:

$\boxed{ \ \frac{119}{15} = \ ? \ }$

$\boxed{ \ = \frac{105}{15} + \frac{14}{15} \ }$

$\boxed{ \ = 7 + \frac{14}{15} \ }$

$\boxed{\boxed{ \ = 7\frac{14}{15} \ }}$

In decimal:

$\boxed{ \ 7\frac{14}{15} = \ ? \ }$

$\boxed{ \ \frac{14}{15} = 0.93 \ }$

$\boxed{ \ = 7 + \frac{14}{15} \ }$

$\boxed{ \ = 7 + 0.93 \ }$

$\boxed{\boxed{ \ = 7.93 \ }}$

$\boxed{\boxed{ \ Thus, \ the \ result \ is \ \frac{119}{15} \ or \ 7\frac{14}{15} \ or \ 7.93 \ }}$

- - - - - - - - - -

Quick Steps:

$\boxed{ \ = 3 \times \bigg(\frac{1}{3} + \frac{4}{5} \bigg) \ }$

$\boxed{ \ = 3 \times \bigg(\frac{5 + 12}{15} \bigg) \ }$

$\boxed{ \ = 3 \times \bigg(\frac{17}{15} \bigg) \ }$

$\boxed{\boxed{ \ = \frac{119}{15} \ }}$

$\boxed{\boxed{ \ = 7\frac{14}{15} \ }}$

$\boxed{\boxed{ \ = 7.93 \ }}$

Learn more  

1. 7 copies of the sum of 8 fifths and 4 brainly.com/question/961462
2. $\frac{2}{3}$ of the product of $\frac{3}{8}$ and 16 brainly.com/question/961462
3. 15 times as much as 1 fifth of 12 is brainly.com/question/348151

Keywords: 7 times, as much as, the sum of 1/3 and 4/5, write an expression to match, and then solve, the result, in mixed fraction, decimal, ¹³/₄ or 3¹/₄ or 3.25