What is 76-90\div 40 ?

The solution to 76-90\div 40 is 73 3/4

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Popular >

76-90\div 40

Solution

76 - 90 \div 40

Solution

73 \frac{3}{4}

Solution steps

76 - 90 \div 40

Follow the PEMDAS order of operations

Multiply and divide (left to right)

90 \div 40 : \frac{90}{40}

90 \div 40

90 \div 40 = \frac{90}{40}

= \frac{90}{40}

= 76 - \frac{90}{40}

Add and subtract (left to right)

76 - \frac{90}{40} : \frac{295}{4}

76 - \frac{90}{40}

76 - \frac{90}{40} = \frac{295}{4}

76 - \frac{90}{40}

Cancel

\frac{90}{40} : \frac{9}{4}

\frac{90}{40}

Cancel the common factor:

10

= \frac{9}{4}

= 76 - \frac{9}{4}

Convert element to fraction:

76 = \frac{76 \cdot 4}{4}

= \frac{76 \cdot 4}{4} - \frac{9}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{76 \cdot 4 - 9}{4}

76 \cdot 4 - 9 = 295

76 \cdot 4 - 9

Multiply the numbers:

76 \cdot 4 = 304

= 304 - 9

Subtract the numbers:

304 - 9 = 295

= 295

= \frac{295}{4}

= \frac{295}{4}

= \frac{295}{4}

Convert improper fractions to mixed numbers:

\frac{295}{4} = 73 \frac{3}{4}

\frac{295}{4} = 73

Remainder

3

\frac{295}{4}

Write the problem in long division format

4 \overline{∣ 295}

Divide

29

4

to get

7

Divide

29

4

to get

7

7 4 \overline{∣ 295}

Multiply the quotient digit

(7)

by the divisor

4

7 4 \overline{∣ 295} \underline{28}

Subtract

28

from

29

7 4 \overline{∣ 295} \underline{28} 1

Bring down the next number of the dividend

7 4 \overline{∣ 295} \underline{28} 15

7 4 \overline{∣ 295} \underline{28} 15

Divide

15

4

to get

3

Divide

15

4

to get

3

73 4 \overline{∣ 295} \underline{28} 15

Multiply the quotient digit

(3)

by the divisor

4

73 4 \overline{∣ 295} \underline{28} 15 \underline{12}

Subtract

12

from

15

73 4 \overline{∣ 295} \underline{28} 15 \underline{12} 3

73 4 \overline{∣ 295} \underline{28} 15 \underline{12} 3

The solution for Long Division of

\frac{295}{4}

73

with remainder of

3

73 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{295}{4} = 73 \frac{3}{4}

= 73 \frac{3}{4}

= 73 \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is 76-90\div 40 ?
The solution to 76-90\div 40 is 73 3/4