The solution to 2 1/4*1/2 is 1 1/8

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Multiply 2 1/4*1/2

Solution

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

Solution

1 \frac{1}{8}

Solution steps

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

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

2 \frac{1}{4}

Convert mixed numbers to improper fraction:

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

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

= \frac{9}{4}

= \frac{9}{4} \cdot 1/2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{9}{4} \cdot 1/2 : \frac{9}{8}

\frac{9}{4} \cdot 1/2

\frac{9}{4} \cdot 1 = \frac{9}{4}

= \frac{9}{4} /2

\frac{9}{4} /2 = \frac{9}{8}

\frac{9}{4} /2

Convert element to fraction:

2 = \frac{2}{1}

= \frac{9}{4} \div \frac{2}{1}

Apply the fraction rule:

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

= \frac{9}{4} \cdot \frac{1}{2}

Multiply fractions:

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

= \frac{9 \cdot 1}{4 \cdot 2}

Multiply the numbers:

9 \cdot 1 = 9

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

Multiply the numbers:

4 \cdot 2 = 8

= \frac{9}{8}

= \frac{9}{8}

= \frac{9}{8}

Convert improper fractions to mixed numbers:

\frac{9}{8} = 1 \frac{1}{8}

\frac{9}{8} = 1

Remainder

1

\frac{9}{8}

Write the problem in long division format

8 \overline{∣ 9}

Divide

9

8

to get

1

Divide

9

8

to get

1

1 8 \overline{∣ 9}

Multiply the quotient digit

(1)

by the divisor

8

1 8 \overline{∣ 9} \underline{8}

Subtract

8

from

9

1 8 \overline{∣ 9} \underline{8} 1

1 8 \overline{∣ 9} \underline{8} 1

The solution for Long Division of

\frac{9}{8}

1

with remainder of

1

1 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{9}{8} = 1 \frac{1}{8}

= 1 \frac{1}{8}

= 1 \frac{1}{8}

Popular Examples

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0.25÷5 long division

\frac{0.25}{5}

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\frac{777}{7}

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\frac{3}{6}

Convert to an Improper Fraction 3 2/3 improper fraction

3 \frac{2}{3}

Frequently Asked Questions (FAQ)

What is 2 1/4*1/2 ?
The solution to 2 1/4*1/2 is 1 1/8

Multiply 2 1/4*1/2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 2 1/4*1/2 ?