What is 40-13\div 2 ?

The solution to 40-13\div 2 is 33 1/2

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Popular Pre Algebra >

40-13\div 2

Solution

40 - 13 \div 2

Solution

33 \frac{1}{2}

Decimal

33.5

Solution steps

40 - 13 \div 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

13 \div 2 : \frac{13}{2}

13 \div 2

13 \div 2 = \frac{13}{2}

= \frac{13}{2}

= 40 - \frac{13}{2}

Add and subtract (left to right)

40 - \frac{13}{2} : \frac{67}{2}

40 - \frac{13}{2}

40 - \frac{13}{2} = \frac{67}{2}

40 - \frac{13}{2}

Convert element to fraction:

40 = \frac{40 \cdot 2}{2}

= \frac{40 \cdot 2}{2} - \frac{13}{2}

Since the denominators are equal, combine the fractions:

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

= \frac{40 \cdot 2 - 13}{2}

40 \cdot 2 - 13 = 67

40 \cdot 2 - 13

Multiply the numbers:

40 \cdot 2 = 80

= 80 - 13

Subtract the numbers:

80 - 13 = 67

= 67

= \frac{67}{2}

= \frac{67}{2}

= \frac{67}{2}

Convert improper fractions to mixed numbers:

\frac{67}{2} = 33 \frac{1}{2}

\frac{67}{2} = 33

Remainder

1

\frac{67}{2}

Write the problem in long division format

2 \overline{∣ 67}

Divide

6

2

to get

3

Divide

6

2

to get

3

3 2 \overline{∣ 67}

Multiply the quotient digit

(3)

by the divisor

2

3 2 \overline{∣ 67} \underline{6}

Subtract

6

from

6

3 2 \overline{∣ 67} \underline{6} 0

Bring down the next number of the dividend

3 2 \overline{∣ 67} \underline{6} 07

3 2 \overline{∣ 67} \underline{6} 07

Divide

7

2

to get

3

Divide

7

2

to get

3

33 2 \overline{∣ 67} \underline{6} 07

Multiply the quotient digit

(3)

by the divisor

2

33 2 \overline{∣ 67} \underline{6} 07 \underline{6}

Subtract

6

from

7

33 2 \overline{∣ 67} \underline{6} 07 \underline{6} 1

33 2 \overline{∣ 67} \underline{6} 07 \underline{6} 1

The solution for Long Division of

\frac{67}{2}

33

with remainder of

1

33 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{67}{2} = 33 \frac{1}{2}

= 33 \frac{1}{2}

= 33 \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 40-13\div 2 ?
The solution to 40-13\div 2 is 33 1/2

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