What is (9/4)/(3/2) ?

The solution to (9/4)/(3/2) is 1 1/2

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Popular >

Divide (9/4)÷(3/2)

Solution

(9/4) / (3/2)

Solution

1 \frac{1}{2}

Solution steps

(9/4) / (3/2)

Follow the PEMDAS order of operations

Calculate within parentheses

(9/4) : \frac{9}{4}

9/4

9/4 = \frac{9}{4}

= \frac{9}{4}

= \frac{9}{4} / (3/2)

Calculate within parentheses

(3/2) : \frac{3}{2}

3/2

3/2 = \frac{3}{2}

= \frac{3}{2}

= \frac{9}{4} / \frac{3}{2}

Multiply and divide (left to right)

\frac{9}{4} / \frac{3}{2} : \frac{3}{2}

\frac{9}{4} / \frac{3}{2}

Apply the fraction rule:

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

= \frac{9}{4} \cdot \frac{2}{3}

Multiply fractions:

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

= \frac{9 \cdot 2}{4 \cdot 3}

Multiply the numbers:

9 \cdot 2 = 18

= \frac{18}{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{18}{12}

Cancel the common factor:

6

= \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

Find the Possible Factors 168 positive factors of

168

Find the GCF 54 , 45 gcf

54, 45

Convert to a Percentage 11/19 convert

t o a p erce n t a g e 11/19

21/16 long division

\frac{21}{16}

Convert to a Mixed Number 13/8 mixed number

\frac{13}{8}

Frequently Asked Questions (FAQ)

What is (9/4)/(3/2) ?
The solution to (9/4)/(3/2) is 1 1/2