What is 3/4 × 22\div 7× 9^2 ?

The solution to 3/4 × 22\div 7× 9^2 is 190 13/14

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Popular Pre Algebra >

3/4 × 22\div 7× 9^2

Solution

\frac{3}{4} \times 22 \div 7 \times 9^{2}

Solution

190 \frac{13}{14}

Decimal

190.92857 \dots

Solution steps

\frac{3}{4} \times 22 \div 7 \times 9^{2}

Follow the PEMDAS order of operations

Calculate exponents

9^{2} : 81

9^{2}

9^{2} = 81

= 81

= \frac{3}{4} \times 22 \div 7 \times 81

Multiply and divide (left to right)

\frac{3}{4} \times 22 \div 7 \times 81 : \frac{2673}{14}

\frac{3}{4} \times 22 \div 7 \times 81

\frac{3}{4} \times 22 = \frac{33}{2}

\frac{3}{4} \cdot 22

Convert element to fraction:

22 = \frac{22}{1}

= \frac{3}{4} \cdot \frac{22}{1}

Apply the fraction rule:

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

= \frac{3 \cdot 22}{4 \cdot 1}

Cancel

\frac{3 \cdot 22}{4 \cdot 1} : \frac{33}{2}

\frac{3 \cdot 22}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{3 \cdot 22}{4}

Factor the number:

22 = 2 \cdot 11

= \frac{3 \cdot 2 \cdot 11}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{3 \cdot 2 \cdot 11}{2 \cdot 2}

Cancel the common factor:

2

= \frac{3 \cdot 11}{2}

Multiply the numbers:

3 \cdot 11 = 33

= \frac{33}{2}

= \frac{33}{2}

= \frac{33}{2} \div 7 \times 81

\frac{33}{2} \div 7 = \frac{33}{14}

\frac{33}{2} \div 7

Convert element to fraction:

7 = \frac{7}{1}

= \frac{33}{2} \div \frac{7}{1}

Apply the fraction rule:

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

= \frac{33}{2} \cdot \frac{1}{7}

Multiply fractions:

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

= \frac{33 \cdot 1}{2 \cdot 7}

Multiply the numbers:

33 \cdot 1 = 33

= \frac{33}{2 \cdot 7}

Multiply the numbers:

2 \cdot 7 = 14

= \frac{33}{14}

= \frac{33}{14} \times 81

\frac{33}{14} \times 81 = \frac{2673}{14}

\frac{33}{14} \cdot 81

Convert element to fraction:

81 = \frac{81}{1}

= \frac{33}{14} \cdot \frac{81}{1}

Apply the fraction rule:

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

= \frac{33 \cdot 81}{14 \cdot 1}

Multiply the numbers:

33 \cdot 81 = 2673

= \frac{2673}{14 \cdot 1}

Multiply the numbers:

14 \cdot 1 = 14

= \frac{2673}{14}

= \frac{2673}{14}

= \frac{2673}{14}

Convert improper fractions to mixed numbers:

\frac{2673}{14} = 190 \frac{13}{14}

\frac{2673}{14} = 190

Remainder

13

\frac{2673}{14}

Write the problem in long division format

14 \overline{∣ 2673}

Divide

26

14

to get

1

Divide

26

14

to get

1

1 14 \overline{∣ 2673}

Multiply the quotient digit

(1)

by the divisor

14

1 14 \overline{∣ 2673} \underline{14}

Subtract

14

from

26

1 14 \overline{∣ 2673} \underline{14} 12

Bring down the next number of the dividend

1 14 \overline{∣ 2673} \underline{14} 127

1 14 \overline{∣ 2673} \underline{14} 127

Divide

127

14

to get

9

Divide

127

14

to get

9

19 14 \overline{∣ 2673} \underline{14} 127

Multiply the quotient digit

(9)

by the divisor

14

19 14 \overline{∣ 2673} \underline{14} 127 \underline{126}

Subtract

126

from

127

19 14 \overline{∣ 2673} \underline{14} 127 \underline{126} 1

Bring down the next number of the dividend

19 14 \overline{∣ 2673} \underline{14} 127 \underline{126} 13

19 14 \overline{∣ 2673} \underline{14} 127 \underline{126} 13

Divide

13

14

to get

0

Divide

13

14

to get

0

190 14 \overline{∣ 2673} \underline{14} 127 \underline{126} 13

Multiply the quotient digit

(0)

by the divisor

14

190 14 \overline{∣ 2673} \underline{14} 127 \underline{126} 13 \underline{0}

Subtract

0

from

13

190 14 \overline{∣ 2673} \underline{14} 127 \underline{126} 13 \underline{0} 13

190 14 \overline{∣ 2673} \underline{14} 127 \underline{126} 13 \underline{0} 13

The solution for Long Division of

\frac{2673}{14}

190

with remainder of

13

190 Remainder 13

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{2673}{14} = 190 \frac{13}{14}

= 190 \frac{13}{14}

= 190 \frac{13}{14}

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Frequently Asked Questions (FAQ)

What is 3/4 × 22\div 7× 9^2 ?
The solution to 3/4 × 22\div 7× 9^2 is 190 13/14

3/4 × 22\div 7× 9^2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 3/4 × 22\div 7× 9^2 ?

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