What is (3/2+6)\times 1/4 ?

The solution to (3/2+6)\times 1/4 is 1 7/8

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Popular >

(3/2+6)\times 1/4

Solution

(\frac{3}{2} + 6) \cdot \frac{1}{4}

Solution

1 \frac{7}{8}

Solution steps

(\frac{3}{2} + 6) \frac{1}{4}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{3}{2} + 6) : \frac{15}{2}

\frac{3}{2} + 6

\frac{3}{2} + 6 = \frac{15}{2}

\frac{3}{2} + 6

Convert element to fraction:

6 = \frac{6 \cdot 2}{2}

= \frac{6 \cdot 2}{2} + \frac{3}{2}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{6 \cdot 2 + 3}{2}

6 \cdot 2 + 3 = 15

6 \cdot 2 + 3

Multiply the numbers:

6 \cdot 2 = 12

= 12 + 3

Add the numbers:

12 + 3 = 15

= 15

= \frac{15}{2}

= \frac{15}{2}

= \frac{15}{2} \cdot \frac{1}{4}

Multiply and divide (left to right)

\frac{15}{2} \cdot \frac{1}{4} : \frac{15}{8}

\frac{15}{2} \cdot \frac{1}{4}

Apply the fraction rule:

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

= \frac{15 \cdot 1}{2 \cdot 4}

Multiply the numbers:

15 \cdot 1 = 15

= \frac{15}{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= \frac{15}{8}

= \frac{15}{8}

Convert improper fractions to mixed numbers:

\frac{15}{8} = 1 \frac{7}{8}

\frac{15}{8} = 1

Remainder

7

\frac{15}{8}

Write the problem in long division format

8 \overline{∣ 15}

Divide

15

8

to get

1

Divide

15

8

to get

1

1 8 \overline{∣ 15}

Multiply the quotient digit

(1)

by the divisor

8

1 8 \overline{∣ 15} \underline{8}

Subtract

8

from

15

1 8 \overline{∣ 15} \underline{8} 7

1 8 \overline{∣ 15} \underline{8} 7

The solution for Long Division of

\frac{15}{8}

1

with remainder of

7

1 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{15}{8} = 1 \frac{7}{8}

= 1 \frac{7}{8}

= 1 \frac{7}{8}

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2 - 3 \div 7

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9 - (7 - 26)

36^2-49

3 6^{2} - 49

8^2-60

8^{2} - 60

2^3\times 5^3

2^{3} \times 5^{3}

Frequently Asked Questions (FAQ)

What is (3/2+6)\times 1/4 ?
The solution to (3/2+6)\times 1/4 is 1 7/8