What is (3\div 4)\times 2 ?

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

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(3\div 4)\times 2

Solution

(3 \div 4) \times 2

Solution

1 \frac{1}{2}

Solution steps

(3 \div 4) \times 2

Follow the PEMDAS order of operations

Calculate within parentheses

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

3 \div 4

3 \div 4 = \frac{3}{4}

= \frac{3}{4}

= \frac{3}{4} \times 2

Multiply and divide (left to right)

\frac{3}{4} \times 2 : \frac{3}{2}

\frac{3}{4} \times 2

Convert element to fraction:

2 = \frac{2}{1}

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

Apply the fraction rule:

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

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

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

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

Multiply the numbers:

4 \cdot 1 = 4

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

= \frac{3}{2}

= \frac{3}{2}

= \frac{3}{2}

Convert improper fractions to mixed numbers:

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

\frac{3}{2} = 1

Remainder

1

\frac{3}{2}

Write the problem in long division format

2 \overline{∣ 3}

Divide

3

2

to get

1

Divide

3

2

to get

1

1 2 \overline{∣ 3}

Multiply the quotient digit

(1)

by the divisor

2

1 2 \overline{∣ 3} \underline{2}

Subtract

2

from

3

1 2 \overline{∣ 3} \underline{2} 1

1 2 \overline{∣ 3} \underline{2} 1

The solution for Long Division of

\frac{3}{2}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

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

= 1 \frac{1}{2}

= 1 \frac{1}{2}

Popular Examples

-(-1^2)-4+5

- (- 1^{2}) - 4 + 5

10-2^3

10 - 2^{3}

10-2^2

10 - 2^{2}

14+(6\div 2)

14 + (6 \div 2)

simplify 16-3/4 simplify

16 - \frac{3}{4}

Frequently Asked Questions (FAQ)

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