What is mixednumber 42/8 ?

The solution to mixednumber 42/8 is 5 1/4

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Popular >

Convert to a Mixed Number 42/8

Solution

mixed number

\frac{42}{8}

Solution

5 \frac{1}{4}

Solution steps

\frac{42}{8}

Reduce the fraction

\frac{42}{8} : \frac{21}{4}

\frac{42}{8}

Find a common factor of

42

and

8

in order to cancel it out

Greatest Common Divisor of

42, 8 : 2

42, 8

Greatest Common Divisor (GCD)

Prime factorization of

42 : 2 \cdot 3 \cdot 7

42

42

divides by

242 = 21 \cdot 2

= 2 \cdot 21

21

divides by

321 = 7 \cdot 3

= 2 \cdot 3 \cdot 7

2, 3, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 3 \cdot 7

Prime factorization of

8 : 2 \cdot 2 \cdot 2

8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2

The prime factors common to

42, 8

are

= 2

Factor out

2

from the numerator and the denominator

42 = 2 \cdot 21, 8 = 2 \cdot 4

= \frac{2 \cdot 21}{2 \cdot 4}

Cancel the common factor:

2

= \frac{21}{4}

\frac{21}{4} = 5

Remainder

1

\frac{21}{4}

Write the problem in long division format

4 \overline{∣ 21}

Divide

21

4

to get

5

Divide

21

4

to get

5

5 4 \overline{∣ 21}

Multiply the quotient digit

(5)

by the divisor

4

5 4 \overline{∣ 21} \underline{20}

Subtract

20

from

21

5 4 \overline{∣ 21} \underline{20} 1

5 4 \overline{∣ 21} \underline{20} 1

The solution for Long Division of

\frac{21}{4}

5

with remainder of

1

5 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{21}{4} = 5 \frac{1}{4}

5 \frac{1}{4}

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1500/120 long division

\frac{1500}{120}

Find the GCF 110x^5 , 70x^6 , 60x^8 gcf

110 x^{5}, 70 x^{6}, 60 x^{8}

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150

Frequently Asked Questions (FAQ)

What is mixednumber 42/8 ?
The solution to mixednumber 42/8 is 5 1/4