What is 5-1 1/2 \times 1/3 ?

The solution to 5-1 1/2 \times 1/3 is 4 1/2

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Popular >

5-1 1/2 \times 1/3

Solution

5 - 1 \frac{1}{2} \cdot \frac{1}{3}

Solution

4 \frac{1}{2}

Solution steps

5 - 1 \frac{1}{2} \cdot \frac{1}{3}

Convert mixed numbers to improper fractions:

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

1 \frac{1}{2}

Convert mixed numbers to improper fraction:

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

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

= \frac{3}{2}

= 5 - \frac{3}{2} \cdot \frac{1}{3}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

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

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

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

= \frac{1}{2}

= 5 - \frac{1}{2}

Add and subtract (left to right)

5 - \frac{1}{2} : \frac{9}{2}

5 - \frac{1}{2}

5 - \frac{1}{2} = \frac{9}{2}

5 - \frac{1}{2}

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

5 \cdot 2 - 1 = 9

5 \cdot 2 - 1

Multiply the numbers:

5 \cdot 2 = 10

= 10 - 1

Subtract the numbers:

10 - 1 = 9

= 9

= \frac{9}{2}

= \frac{9}{2}

= \frac{9}{2}

Convert improper fractions to mixed numbers:

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

\frac{9}{2} = 4

Remainder

1

\frac{9}{2}

Write the problem in long division format

2 \overline{∣ 9}

Divide

9

2

to get

4

Divide

9

2

to get

4

4 2 \overline{∣ 9}

Multiply the quotient digit

(4)

by the divisor

2

4 2 \overline{∣ 9} \underline{8}

Subtract

8

from

9

4 2 \overline{∣ 9} \underline{8} 1

4 2 \overline{∣ 9} \underline{8} 1

The solution for Long Division of

\frac{9}{2}

4

with remainder of

1

4 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

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

= 4 \frac{1}{2}

= 4 \frac{1}{2}

Popular Examples

5+(6+5)^2+3-8+9

5 + (6 + 5)^{2} + 3 - 8 + 9

9+2(3^2)

9 + 2 (3^{2})

9/13-(5/13+3/13)

\frac{9}{13} - (\frac{5}{13} + \frac{3}{13})

13-2-5-9-1+8-11

13 - 2 - 5 - 9 - 1 + 8 - 11

2*2+1

2 \cdot 2 + 1

Frequently Asked Questions (FAQ)

What is 5-1 1/2 \times 1/3 ?
The solution to 5-1 1/2 \times 1/3 is 4 1/2