The solution to 1/(12/13) is 1 1/12

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Simplify 1/(12/13)

Solution

1/ (12/13)

Solution

1 \frac{1}{12}

Solution steps

1/ (12/13)

Follow the PEMDAS order of operations

Calculate within parentheses

(12/13) : \frac{12}{13}

12/13

12/13 = \frac{12}{13}

= \frac{12}{13}

= 1/ \frac{12}{13}

Multiply and divide (left to right)

1/ \frac{12}{13} : \frac{13}{12}

1/ \frac{12}{13}

Convert element to fraction:

1 = \frac{1}{1}

= \frac{1}{1} \div \frac{12}{13}

Apply the fraction rule:

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

= \frac{1}{1} \cdot \frac{13}{12}

Apply rule

\frac{a}{a} = 1

\frac{1}{1} = 1

= 1 \cdot \frac{13}{12}

Multiply:

1 \cdot \frac{13}{12} = \frac{13}{12}

= \frac{13}{12}

= \frac{13}{12}

Convert improper fractions to mixed numbers:

\frac{13}{12} = 1 \frac{1}{12}

\frac{13}{12} = 1

Remainder

1

\frac{13}{12}

Write the problem in long division format

12 \overline{∣ 13}

Divide

13

12

to get

1

Divide

13

12

to get

1

1 12 \overline{∣ 13}

Multiply the quotient digit

(1)

by the divisor

12

1 12 \overline{∣ 13} \underline{12}

Subtract

12

from

13

1 12 \overline{∣ 13} \underline{12} 1

1 12 \overline{∣ 13} \underline{12} 1

The solution for Long Division of

\frac{13}{12}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{13}{12} = 1 \frac{1}{12}

= 1 \frac{1}{12}

= 1 \frac{1}{12}

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Frequently Asked Questions (FAQ)

What is 1/(12/13) ?
The solution to 1/(12/13) is 1 1/12

Simplify 1/(12/13)

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 1/(12/13) ?