What is (4-1/2) 4/3 ?

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

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Popular >

(4-1/2) 4/3

Solution

(4 - \frac{1}{2}) \frac{4}{3}

Solution

4 \frac{2}{3}

Solution steps

(4 - \frac{1}{2}) \frac{4}{3}

Follow the PEMDAS order of operations

Calculate within parentheses

(4 - \frac{1}{2}) : \frac{7}{2}

4 - \frac{1}{2}

4 - \frac{1}{2} = \frac{7}{2}

4 - \frac{1}{2}

Convert element to fraction:

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

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

4 \cdot 2 - 1 = 7

4 \cdot 2 - 1

Multiply the numbers:

4 \cdot 2 = 8

= 8 - 1

Subtract the numbers:

8 - 1 = 7

= 7

= \frac{7}{2}

= \frac{7}{2}

= \frac{7}{2} \cdot \frac{4}{3}

Multiply and divide (left to right)

\frac{7}{2} \cdot \frac{4}{3} : \frac{14}{3}

\frac{7}{2} \cdot \frac{4}{3}

Apply the fraction rule:

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

= \frac{7 \cdot 4}{2 \cdot 3}

Cancel

\frac{7 \cdot 4}{2 \cdot 3} : \frac{14}{3}

\frac{7 \cdot 4}{2 \cdot 3}

Factor the number:

4 = 2 \cdot 2

= \frac{7 \cdot 2 \cdot 2}{2 \cdot 3}

Cancel the common factor:

2

= \frac{7 \cdot 2}{3}

Multiply the numbers:

7 \cdot 2 = 14

= \frac{14}{3}

= \frac{14}{3}

= \frac{14}{3}

Convert improper fractions to mixed numbers:

\frac{14}{3} = 4 \frac{2}{3}

\frac{14}{3} = 4

Remainder

2

\frac{14}{3}

Write the problem in long division format

3 \overline{∣ 14}

Divide

14

3

to get

4

Divide

14

3

to get

4

4 3 \overline{∣ 14}

Multiply the quotient digit

(4)

by the divisor

3

4 3 \overline{∣ 14} \underline{12}

Subtract

12

from

14

4 3 \overline{∣ 14} \underline{12} 2

4 3 \overline{∣ 14} \underline{12} 2

The solution for Long Division of

\frac{14}{3}

4

with remainder of

2

4 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{14}{3} = 4 \frac{2}{3}

= 4 \frac{2}{3}

= 4 \frac{2}{3}

Popular Examples

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- 7 - 1 + 6 - 2

60^2-110+4

6 0^{2} - 110 + 4

(6*5)^2

(6 \cdot 5)^{2}

6^2\div 4(2^2)-2^3+7

6^{2} \div 4 (2^{2}) - 2^{3} + 7

[10+(16\div 8)]\times 3^2-8

[10 + (16 \div 8)] \times 3^{2} - 8

Frequently Asked Questions (FAQ)

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