What is 15/4 (1/2 \div 3/4) ?

The solution to 15/4 (1/2 \div 3/4) is 2 1/2

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Popular >

15/4 (1/2 \div 3/4)

Solution

\frac{15}{4} (\frac{1}{2} \div \frac{3}{4})

Solution

2 \frac{1}{2}

Solution steps

\frac{15}{4} (\frac{1}{2} \div \frac{3}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} \div \frac{3}{4}) : \frac{2}{3}

\frac{1}{2} \div \frac{3}{4}

Multiply and divide (left to right)

Apply the fraction rule:

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

= \frac{1}{2} \cdot \frac{4}{3}

Cross-cancel common factor:

2

= \frac{2}{3}

= \frac{15}{4} \cdot \frac{2}{3}

Multiply and divide (left to right)

\frac{15}{4} \cdot \frac{2}{3} : \frac{5}{2}

\frac{15}{4} \cdot \frac{2}{3}

Apply the fraction rule:

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

= \frac{15 \cdot 2}{4 \cdot 3}

Cancel

\frac{15 \cdot 2}{4 \cdot 3} : \frac{5}{2}

\frac{15 \cdot 2}{4 \cdot 3}

Factor the number:

15 = 3 \cdot 5

= \frac{3 \cdot 5 \cdot 2}{4 \cdot 3}

Cancel the common factor:

3

= \frac{5 \cdot 2}{4}

Factor the number:

4 = 2 \cdot 2

= \frac{5 \cdot 2}{2 \cdot 2}

Cancel the common factor:

2

= \frac{5}{2}

= \frac{5}{2}

= \frac{5}{2}

Convert improper fractions to mixed numbers:

\frac{5}{2} = 2 \frac{1}{2}

\frac{5}{2} = 2

Remainder

1

\frac{5}{2}

Write the problem in long division format

2 \overline{∣ 5}

Divide

5

2

to get

2

Divide

5

2

to get

2

2 2 \overline{∣ 5}

Multiply the quotient digit

(2)

by the divisor

2

2 2 \overline{∣ 5} \underline{4}

Subtract

4

from

5

2 2 \overline{∣ 5} \underline{4} 1

2 2 \overline{∣ 5} \underline{4} 1

The solution for Long Division of

\frac{5}{2}

2

with remainder of

1

2 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{5}{2} = 2 \frac{1}{2}

= 2 \frac{1}{2}

= 2 \frac{1}{2}

Popular Examples

9/5-6*4/8

\frac{9}{5} - 6 \cdot \frac{4}{8}

20-[15-(4+28)]

20 - [15 - (4 + 28)]

5\div 32-2(3\div 64)

5 \div 32 - 2 (3 \div 64)

42-4(3-1)

42 - 4 (3 - 1)

8-1\times 0+2\div 2

8 - 1 \times 0 + 2 \div 2

Frequently Asked Questions (FAQ)

What is 15/4 (1/2 \div 3/4) ?
The solution to 15/4 (1/2 \div 3/4) is 2 1/2