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Popular Pre Algebra >

20/12

  • Pre Algebra
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  • Pre Calculus
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Solution

1220​

Solution

132​
+1
Decimal
1.66666…
Solution steps
Reduce the fraction 1220​:35​
1220​
Find a common factor of 20 and 12 in order to cancel it out
Greatest Common Divisor of 20,12:4
20,12
Greatest Common Divisor (GCD)
Prime factorization of 20:2⋅2⋅5
20
20divides by 220=10⋅2=2⋅10
10divides by 210=5⋅2=2⋅2⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅5
Prime factorization of 12:2⋅2⋅3
12
12divides by 212=6⋅2=2⋅6
6divides by 26=3⋅2=2⋅2⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3
The prime factors common to 20,12 are =2⋅2
Multiply the numbers: 2⋅2=4=4
Factor out 4 from the numerator and the denominator
20=4⋅5,12=4⋅3
=4⋅34⋅5​
Cancel the common factor: 4=35​
35​=1Remainder2
35​
Write the problem in long division format3∣5​​
Divide 5by 3to get 1
Divide 5by 3to get 113∣5​​
Multiply the quotient digit (1)by the divisor 313∣5​3​​
Subtract 3from 513∣5​3​2​
13∣5​3​2​
The solution for Long Division of 35​is 1with remainder of 21Remainder2
Convert to mixed number: QuotientDivisorRemainder​35​=132​
=132​

Popular Examples

3*9+(6+5-3)-12/42(1)^3longdivision 144/2longmult 180*52-1+5*4*11

Frequently Asked Questions (FAQ)

  • What is 20/12 ?

    The solution to 20/12 is 1 2/3

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