What is 71/2× 81/2 ?

The solution to 71/2× 81/2 is 1437 3/4

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Popular Pre Algebra >

71/2× 81/2

Solution

71/2 \times 81/2

Solution

1437 \frac{3}{4}

Decimal

1437.75

Solution steps

71/2 \times 81/2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

71/2 = \frac{71}{2}

= \frac{71}{2} \times 81/2

\frac{71}{2} \times 81 = \frac{5751}{2}

\frac{71}{2} \cdot 81

Convert element to fraction:

81 = \frac{81}{1}

= \frac{71}{2} \cdot \frac{81}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{71 \cdot 81}{2 \cdot 1}

Multiply the numbers:

71 \cdot 81 = 5751

= \frac{5751}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{5751}{2}

= \frac{5751}{2} /2

\frac{5751}{2} /2 = \frac{5751}{4}

\frac{5751}{2} /2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{5751}{2} \div \frac{2}{1}

Apply the fraction rule:

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

= \frac{5751}{2} \cdot \frac{1}{2}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5751 \cdot 1}{2 \cdot 2}

Multiply the numbers:

5751 \cdot 1 = 5751

= \frac{5751}{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{5751}{4}

= \frac{5751}{4}

Convert improper fractions to mixed numbers:

\frac{5751}{4} = 1437 \frac{3}{4}

\frac{5751}{4} = 1437

Remainder

3

\frac{5751}{4}

Write the problem in long division format

4 \overline{∣ 5751}

Divide

5

4

to get

1

Divide

5

4

to get

1

1 4 \overline{∣ 5751}

Multiply the quotient digit

(1)

by the divisor

4

1 4 \overline{∣ 5751} \underline{4}

Subtract

4

from

5

1 4 \overline{∣ 5751} \underline{4} 1

Bring down the next number of the dividend

1 4 \overline{∣ 5751} \underline{4} 17

1 4 \overline{∣ 5751} \underline{4} 17

Divide

17

4

to get

4

Divide

17

4

to get

4

14 4 \overline{∣ 5751} \underline{4} 17

Multiply the quotient digit

(4)

by the divisor

4

14 4 \overline{∣ 5751} \underline{4} 17 \underline{16}

Subtract

16

from

17

14 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 1

Bring down the next number of the dividend

14 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15

14 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15

Divide

15

4

to get

3

Divide

15

4

to get

3

143 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15

Multiply the quotient digit

(3)

by the divisor

4

143 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12}

Subtract

12

from

15

143 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12} 3

Bring down the next number of the dividend

143 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12} 31

143 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12} 31

Divide

31

4

to get

7

Divide

31

4

to get

7

1437 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12} 31

Multiply the quotient digit

(7)

by the divisor

4

1437 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12} 31 \underline{28}

Subtract

28

from

31

1437 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12} 31 \underline{28} 3

1437 4 \overline{∣ 5751} \underline{4} 17 \underline{16} 15 \underline{12} 31 \underline{28} 3

The solution for Long Division of

\frac{5751}{4}

1437

with remainder of

3

1437 Remainder 3

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{5751}{4} = 1437 \frac{3}{4}

= 1437 \frac{3}{4}

= 1437 \frac{3}{4}

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Frequently Asked Questions (FAQ)

What is 71/2× 81/2 ?
The solution to 71/2× 81/2 is 1437 3/4

71/2× 81/2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 71/2× 81/2 ?

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