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Popular Pre Algebra >

16/12

  • Pre Algebra
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Solution

1216​

Solution

131​
+1
Decimal
1.33333…
Solution steps
Reduce the fraction 1216​:34​
1216​
Find a common factor of 16 and 12 in order to cancel it out
Greatest Common Divisor of 16,12:4
16,12
Greatest Common Divisor (GCD)
Prime factorization of 16:2⋅2⋅2⋅2
16
16divides by 216=8⋅2=2⋅8
8divides by 28=4⋅2=2⋅2⋅4
4divides by 24=2⋅2=2⋅2⋅2⋅2
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 16,12 are =2⋅2
Multiply the numbers: 2⋅2=4=4
Factor out 4 from the numerator and the denominator
16=4⋅4,12=4⋅3
=4⋅34⋅4​
Cancel the common factor: 4=34​
34​=1Remainder1
34​
Write the problem in long division format3∣4​​
Divide 4by 3to get 1
Divide 4by 3to get 113∣4​​
Multiply the quotient digit (1)by the divisor 313∣4​3​​
Subtract 3from 413∣4​3​1​
13∣4​3​1​
The solution for Long Division of 34​is 1with remainder of 11Remainder1
Convert to mixed number: QuotientDivisorRemainder​34​=131​
=131​

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Frequently Asked Questions (FAQ)

  • What is 16/12 ?

    The solution to 16/12 is 1 1/3

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