What is 13-32\div 77+21 ?

The solution to 13-32\div 77+21 is 33 45/77

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Popular Pre Algebra >

13-32\div 77+21

Solution

13 - 32 \div 77 + 21

Solution

33 \frac{45}{77}

Decimal

33.58441 \dots

Solution steps

13 - 32 \div 77 + 21

Follow the PEMDAS order of operations

Multiply and divide (left to right)

32 \div 77 : \frac{32}{77}

32 \div 77

32 \div 77 = \frac{32}{77}

= \frac{32}{77}

= 13 - \frac{32}{77} + 21

Add and subtract (left to right)

13 - \frac{32}{77} + 21 : \frac{2586}{77}

13 - \frac{32}{77} + 21

13 - \frac{32}{77} = \frac{969}{77}

13 - \frac{32}{77}

Convert element to fraction:

13 = \frac{13 \cdot 77}{77}

= \frac{13 \cdot 77}{77} - \frac{32}{77}

Since the denominators are equal, combine the fractions:

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

= \frac{13 \cdot 77 - 32}{77}

13 \cdot 77 - 32 = 969

13 \cdot 77 - 32

Multiply the numbers:

13 \cdot 77 = 1001

= 1001 - 32

Subtract the numbers:

1001 - 32 = 969

= 969

= \frac{969}{77}

= \frac{969}{77} + 21

\frac{969}{77} + 21 = \frac{2586}{77}

\frac{969}{77} + 21

Convert element to fraction:

21 = \frac{21 \cdot 77}{77}

= \frac{21 \cdot 77}{77} + \frac{969}{77}

Since the denominators are equal, combine the fractions:

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

= \frac{21 \cdot 77 + 969}{77}

21 \cdot 77 + 969 = 2586

21 \cdot 77 + 969

Multiply the numbers:

21 \cdot 77 = 1617

= 1617 + 969

Add the numbers:

1617 + 969 = 2586

= 2586

= \frac{2586}{77}

= \frac{2586}{77}

= \frac{2586}{77}

Convert improper fractions to mixed numbers:

\frac{2586}{77} = 33 \frac{45}{77}

\frac{2586}{77} = 33

Remainder

45

\frac{2586}{77}

Write the problem in long division format

77 \overline{∣ 2586}

Divide

258

77

to get

3

Divide

258

77

to get

3

3 77 \overline{∣ 2586}

Multiply the quotient digit

(3)

by the divisor

77

3 77 \overline{∣ 2586} \underline{231}

Subtract

231

from

258

3 77 \overline{∣ 2586} \underline{231} 27

Bring down the next number of the dividend

3 77 \overline{∣ 2586} \underline{231} 276

3 77 \overline{∣ 2586} \underline{231} 276

Divide

276

77

to get

3

Divide

276

77

to get

3

33 77 \overline{∣ 2586} \underline{231} 276

Multiply the quotient digit

(3)

by the divisor

77

33 77 \overline{∣ 2586} \underline{231} 276 \underline{231}

Subtract

231

from

276

33 77 \overline{∣ 2586} \underline{231} 276 \underline{231} 45

33 77 \overline{∣ 2586} \underline{231} 276 \underline{231} 45

The solution for Long Division of

\frac{2586}{77}

33

with remainder of

45

33 Remainder 45

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{2586}{77} = 33 \frac{45}{77}

= 33 \frac{45}{77}

= 33 \frac{45}{77}

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Frequently Asked Questions (FAQ)

What is 13-32\div 77+21 ?
The solution to 13-32\div 77+21 is 33 45/77

13-32\div 77+21

Solution

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Frequently Asked Questions (FAQ)

What is 13-32\div 77+21 ?

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