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Popular Pre Algebra >

42/12

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Solution

1242​

Solution

321​
+1
Decimal
3.5
Solution steps
Reduce the fraction 1242​:27​
1242​
Find a common factor of 42 and 12 in order to cancel it out
Greatest Common Divisor of 42,12:6
42,12
Greatest Common Divisor (GCD)
Prime factorization of 42:2⋅3⋅7
42
42divides by 242=21⋅2=2⋅21
21divides by 321=7⋅3=2⋅3⋅7
2,3,7 are all prime numbers, therefore no further factorization is possible=2⋅3⋅7
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 42,12 are =2⋅3
Multiply the numbers: 2⋅3=6=6
Factor out 6 from the numerator and the denominator
42=6⋅7,12=6⋅2
=6⋅26⋅7​
Cancel the common factor: 6=27​
27​=3Remainder1
27​
Write the problem in long division format2∣7​​
Divide 7by 2to get 3
Divide 7by 2to get 332∣7​​
Multiply the quotient digit (3)by the divisor 232∣7​6​​
Subtract 6from 732∣7​6​1​
32∣7​6​1​
The solution for Long Division of 27​is 3with remainder of 13Remainder1
Convert to mixed number: QuotientDivisorRemainder​27​=321​
=321​

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Frequently Asked Questions (FAQ)

  • What is 42/12 ?

    The solution to 42/12 is 3 1/2

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