The solution to 8/(5/6) is 9 3/5

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Write the Fraction in Simplest Form 8÷(5/6)

Solution

8/ (5/6)

Solution

9 \frac{3}{5}

Solution steps

8/ (5/6)

Follow the PEMDAS order of operations

Calculate within parentheses

(5/6) : \frac{5}{6}

5/6

5/6 = \frac{5}{6}

= \frac{5}{6}

= 8/ \frac{5}{6}

Multiply and divide (left to right)

8/ \frac{5}{6} : \frac{48}{5}

8/ \frac{5}{6}

Convert element to fraction:

8 = \frac{8}{1}

= \frac{8}{1} \div \frac{5}{6}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{8}{1} \cdot \frac{6}{5}

Multiply fractions:

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

= \frac{8 \cdot 6}{1 \cdot 5}

Multiply the numbers:

8 \cdot 6 = 48

= \frac{48}{1 \cdot 5}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{48}{5}

= \frac{48}{5}

Convert improper fractions to mixed numbers:

\frac{48}{5} = 9 \frac{3}{5}

\frac{48}{5} = 9

Remainder

3

\frac{48}{5}

Write the problem in long division format

5 \overline{∣ 48}

Divide

48

5

to get

9

Divide

48

5

to get

9

9 5 \overline{∣ 48}

Multiply the quotient digit

(9)

by the divisor

5

9 5 \overline{∣ 48} \underline{45}

Subtract

45

from

48

9 5 \overline{∣ 48} \underline{45} 3

9 5 \overline{∣ 48} \underline{45} 3

The solution for Long Division of

\frac{48}{5}

9

with remainder of

3

9 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{48}{5} = 9 \frac{3}{5}

= 9 \frac{3}{5}

= 9 \frac{3}{5}

Popular Examples

Simplify 15/19

\frac{15}{19}

34/3 long division

\frac{34}{3}

Convert to a Mixed Number 8.7 mixed number

8.7

Find the Quadratic Equation (-7,4)decimal to fraction

- 7.4

Convert to an Improper Fraction 5 1/3 improper fraction

5 \frac{1}{3}

Frequently Asked Questions (FAQ)

What is 8/(5/6) ?
The solution to 8/(5/6) is 9 3/5

Write the Fraction in Simplest Form 8÷(5/6)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 8/(5/6) ?