What is 31/4\times 6/8 ?

The solution to 31/4\times 6/8 is 5 13/16

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Popular >

31/4\times 6/8

Solution

31/4 \times 6/8

Solution

5 \frac{13}{16}

Solution steps

31/4 \times 6/8

Follow the PEMDAS order of operations

Multiply and divide (left to right)

31/4 = \frac{31}{4}

= \frac{31}{4} \times 6/8

\frac{31}{4} \times 6 = \frac{93}{2}

\frac{31}{4} \cdot 6

Convert element to fraction:

6 = \frac{6}{1}

= \frac{31}{4} \cdot \frac{6}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{31 \cdot 6}{4 \cdot 1}

Cancel

\frac{31 \cdot 6}{4 \cdot 1} : \frac{93}{2}

\frac{31 \cdot 6}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{31 \cdot 6}{4}

Factor the number:

6 = 2 \cdot 3

= \frac{31 \cdot 2 \cdot 3}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{31 \cdot 2 \cdot 3}{2 \cdot 2}

Cancel the common factor:

2

= \frac{31 \cdot 3}{2}

Multiply the numbers:

31 \cdot 3 = 93

= \frac{93}{2}

= \frac{93}{2}

= \frac{93}{2} /8

\frac{93}{2} /8 = \frac{93}{16}

\frac{93}{2} /8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{93}{2} \div \frac{8}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{93}{2} \cdot \frac{1}{8}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{93 \cdot 1}{2 \cdot 8}

Multiply the numbers:

93 \cdot 1 = 93

= \frac{93}{2 \cdot 8}

Multiply the numbers:

2 \cdot 8 = 16

= \frac{93}{16}

= \frac{93}{16}

Convert improper fractions to mixed numbers:

\frac{93}{16} = 5 \frac{13}{16}

\frac{93}{16} = 5

Remainder

13

\frac{93}{16}

Write the problem in long division format

16 \overline{∣ 93}

Divide

93

16

to get

5

Divide

93

16

to get

5

5 16 \overline{∣ 93}

Multiply the quotient digit

(5)

by the divisor

16

5 16 \overline{∣ 93} \underline{80}

Subtract

80

from

93

5 16 \overline{∣ 93} \underline{80} 13

5 16 \overline{∣ 93} \underline{80} 13

The solution for Long Division of

\frac{93}{16}

5

with remainder of

13

5 Remainder 13

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{93}{16} = 5 \frac{13}{16}

= 5 \frac{13}{16}

= 5 \frac{13}{16}

Popular Examples

(-2)^4-15(-2)^2+10(-2)+24

(- 2)^{4} - 15 (- 2)^{2} + 10 (- 2) + 24

(3^2*2^4)/(6^6)

\frac{3 ^{2} \cdot 2 ^{4}}{6 ^{6}}

-2\div 3(-3)

- 2 \div 3 (- 3)

-9+{-5[-7-(-3*4)]+6}-4

- 9 + {- 5 [- 7 - (- 3 \cdot 4)] + 6} - 4

2-3+8

2 - 3 + 8

Frequently Asked Questions (FAQ)

What is 31/4\times 6/8 ?
The solution to 31/4\times 6/8 is 5 13/16