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Popular Pre Algebra >

2/3 × 22/7 × 7^3

  • Pre Algebra
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Solution

32​×722​×73

Solution

71832​
+1
Decimal
718.66666…
Solution steps
32​⋅722​⋅73
Follow the PEMDAS order of operations
Calculate exponents 73:343
73
73=343=343
=32​⋅722​⋅343
Multiply and divide (left to right) 32​⋅722​⋅343:32156​
32​⋅722​⋅343
32​⋅722​=2144​
32​⋅722​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=3⋅72⋅22​
Multiply the numbers: 2⋅22=44=3⋅744​
Multiply the numbers: 3⋅7=21=2144​
=2144​⋅343
2144​⋅343=32156​
2144​⋅343
Convert element to fraction: 343=1343​=2144​⋅1343​
Apply the fraction rule: ba​⋅dc​=b⋅da⋅c​=21⋅144⋅343​
Cancel 21⋅144⋅343​:32156​
21⋅144⋅343​
Multiply the numbers: 21⋅1=21=2144⋅343​
Factor the number: 343=7⋅49=2144⋅7⋅49​
Factor the number: 21=7⋅3=7⋅344⋅7⋅49​
Cancel the common factor: 7=344⋅49​
Multiply the numbers: 44⋅49=2156=32156​
=32156​
=32156​
=32156​
Convert improper fractions to mixed numbers:32156​=71832​
32156​=718Remainder2
32156​
Write the problem in long division format3∣2156​​
Divide 21by 3to get 7
Divide 21by 3to get 773∣2156​​
Multiply the quotient digit (7)by the divisor 373∣2156​21​​
Subtract 21from 2173∣2156​21​0​
Bring down the next number of the dividend73∣2156​21​05​
73∣2156​21​05​
Divide 5by 3to get 1
Divide 5by 3to get 1713∣2156​21​05​
Multiply the quotient digit (1)by the divisor 3713∣2156​21​053​​
Subtract 3from 5713∣2156​21​053​2​
Bring down the next number of the dividend713∣2156​21​053​26​
713∣2156​21​053​26​
Divide 26by 3to get 8
Divide 26by 3to get 87183∣2156​21​053​26​
Multiply the quotient digit (8)by the divisor 37183∣2156​21​053​2624​​
Subtract 24from 267183∣2156​21​053​2624​2​
7183∣2156​21​053​2624​2​
The solution for Long Division of 32156​is 718with remainder of 2718Remainder2
Convert to mixed number: QuotientDivisorRemainder​32156​=71832​
=71832​
=71832​

Popular Examples

4-9*(6-7)9(2)-59(2)-612× 5\div 15+8(-40)12/4+1-3

Frequently Asked Questions (FAQ)

  • What is 2/3 × 22/7 × 7^3 ?

    The solution to 2/3 × 22/7 × 7^3 is 718 2/3

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