What is 1-(27-39)/27 ?

The solution to 1-(27-39)/27 is 1 4/9

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Popular >

Evaluate 1-(27-39)/27

Solution

1 - (27 - 39) /27

Solution

1 \frac{4}{9}

Solution steps

1 - (27 - 39) /27

Follow the PEMDAS order of operations

Calculate within parentheses

(27 - 39) : - 12

27 - 39

27 - 39 = - 12

= - 12

= 1 - (- 12) /27

Multiply and divide (left to right)

(- 12) /27 : \frac{( - 12 )}{27}

(- 12) /27

Apply rule

(- a) / b = - a / b

(- 12) /27 = - 12/27 = \frac{( - 12 )}{27}

= \frac{( - 12 )}{27}

= 1 - \frac{( - 12 )}{27}

Add and subtract (left to right)

1 - \frac{( - 12 )}{27} : \frac{13}{9}

1 - \frac{( - 12 )}{27}

1 - \frac{( - 12 )}{27} = \frac{13}{9}

1 - \frac{- 12}{27}

\frac{- 12}{27} = - \frac{4}{9}

\frac{- 12}{27}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{12}{27}

Cancel the common factor:

3

= - \frac{4}{9}

= 1 - (- \frac{4}{9})

Apply rule

- (- a) = a

= 1 + \frac{4}{9}

Convert element to fraction:

1 = \frac{1 \cdot 9}{9}

= \frac{1 \cdot 9}{9} + \frac{4}{9}

Since the denominators are equal, combine the fractions:

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

= \frac{1 \cdot 9 + 4}{9}

1 \cdot 9 + 4 = 13

1 \cdot 9 + 4

Multiply the numbers:

1 \cdot 9 = 9

= 9 + 4

Add the numbers:

9 + 4 = 13

= 13

= \frac{13}{9}

= \frac{13}{9}

= \frac{13}{9}

Convert improper fractions to mixed numbers:

\frac{13}{9} = 1 \frac{4}{9}

\frac{13}{9} = 1

Remainder

4

\frac{13}{9}

Write the problem in long division format

9 \overline{∣ 13}

Divide

13

9

to get

1

Divide

13

9

to get

1

1 9 \overline{∣ 13}

Multiply the quotient digit

(1)

by the divisor

9

1 9 \overline{∣ 13} \underline{9}

Subtract

9

from

13

1 9 \overline{∣ 13} \underline{9} 4

1 9 \overline{∣ 13} \underline{9} 4

The solution for Long Division of

\frac{13}{9}

1

with remainder of

4

1 Remainder 4

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{13}{9} = 1 \frac{4}{9}

= 1 \frac{4}{9}

= 1 \frac{4}{9}

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Frequently Asked Questions (FAQ)

What is 1-(27-39)/27 ?
The solution to 1-(27-39)/27 is 1 4/9