What is 2+4/7 (8-2) ?

The solution to 2+4/7 (8-2) is 5 3/7

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Popular >

2+4/7 (8-2)

Solution

2 + \frac{4}{7} (8 - 2)

Solution

5 \frac{3}{7}

Solution steps

2 + \frac{4}{7} (8 - 2)

Follow the PEMDAS order of operations

Calculate within parentheses

(8 - 2) : 6

8 - 2

8 - 2 = 6

= 6

= 2 + \frac{4}{7} \cdot 6

Multiply and divide (left to right)

\frac{4}{7} \cdot 6 : \frac{24}{7}

\frac{4}{7} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{4}{7} \cdot \frac{6}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 6}{7 \cdot 1}

Multiply the numbers:

4 \cdot 6 = 24

= \frac{24}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{24}{7}

= 2 + \frac{24}{7}

Add and subtract (left to right)

2 + \frac{24}{7} : \frac{38}{7}

2 + \frac{24}{7}

2 + \frac{24}{7} = \frac{38}{7}

2 + \frac{24}{7}

Convert element to fraction:

2 = \frac{2 \cdot 7}{7}

= \frac{2 \cdot 7}{7} + \frac{24}{7}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{2 \cdot 7 + 24}{7}

2 \cdot 7 + 24 = 38

2 \cdot 7 + 24

Multiply the numbers:

2 \cdot 7 = 14

= 14 + 24

Add the numbers:

14 + 24 = 38

= 38

= \frac{38}{7}

= \frac{38}{7}

= \frac{38}{7}

Convert improper fractions to mixed numbers:

\frac{38}{7} = 5 \frac{3}{7}

\frac{38}{7} = 5

Remainder

3

\frac{38}{7}

Write the problem in long division format

7 \overline{∣ 38}

Divide

38

7

to get

5

Divide

38

7

to get

5

5 7 \overline{∣ 38}

Multiply the quotient digit

(5)

by the divisor

7

5 7 \overline{∣ 38} \underline{35}

Subtract

35

from

38

5 7 \overline{∣ 38} \underline{35} 3

5 7 \overline{∣ 38} \underline{35} 3

The solution for Long Division of

\frac{38}{7}

5

with remainder of

3

5 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{38}{7} = 5 \frac{3}{7}

= 5 \frac{3}{7}

= 5 \frac{3}{7}

Popular Examples

(9+33-6)+6-3^2

(9 + 33 - 6) + 6 - 3^{2}

1\div [2-3\div (4+1/5)]

1 \div [2 - 3 \div (4 + \frac{1}{5})]

10-[6-(-5+4)-2]+1

10 - [6 - (- 5 + 4) - 2] + 1

-2^2+2(-2)+1

- 2^{2} + 2 (- 2) + 1

2(0)^2-4

2 (0)^{2} - 4

Frequently Asked Questions (FAQ)

What is 2+4/7 (8-2) ?
The solution to 2+4/7 (8-2) is 5 3/7