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

The solution to 4 1/3 (2*2/3) is 5 7/9

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Popular >

4 1/3 (2*2/3)

Solution

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

Solution

5 \frac{7}{9}

Solution steps

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

Convert mixed numbers to improper fractions:

4 \frac{1}{3} = \frac{13}{3}

4 \frac{1}{3}

Convert mixed numbers to improper fraction:

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

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

= \frac{13}{3}

= \frac{13}{3} (2 \cdot \frac{2}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(2 \cdot \frac{2}{3}) : \frac{4}{3}

2 \cdot \frac{2}{3}

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

2 \cdot \frac{2}{3}

Convert element to fraction:

2 = \frac{2}{1}

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

Multiply fractions:

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

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

Multiply the numbers:

2 \cdot 2 = 4

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

Multiply the numbers:

1 \cdot 3 = 3

= \frac{4}{3}

= \frac{4}{3}

= \frac{13}{3} \cdot \frac{4}{3}

Multiply and divide (left to right)

\frac{13}{3} \cdot \frac{4}{3} : \frac{52}{9}

\frac{13}{3} \cdot \frac{4}{3}

Apply the fraction rule:

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

= \frac{13 \cdot 4}{3 \cdot 3}

Multiply the numbers:

13 \cdot 4 = 52

= \frac{52}{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= \frac{52}{9}

= \frac{52}{9}

Convert improper fractions to mixed numbers:

\frac{52}{9} = 5 \frac{7}{9}

\frac{52}{9} = 5

Remainder

7

\frac{52}{9}

Write the problem in long division format

9 \overline{∣ 52}

Divide

52

9

to get

5

Divide

52

9

to get

5

5 9 \overline{∣ 52}

Multiply the quotient digit

(5)

by the divisor

9

5 9 \overline{∣ 52} \underline{45}

Subtract

45

from

52

5 9 \overline{∣ 52} \underline{45} 7

5 9 \overline{∣ 52} \underline{45} 7

The solution for Long Division of

\frac{52}{9}

5

with remainder of

7

5 Remainder 7

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{52}{9} = 5 \frac{7}{9}

= 5 \frac{7}{9}

= 5 \frac{7}{9}

Popular Examples

(14\times 2+8)\times 2

(14 \times 2 + 8) \times 2

simplify 3/6+4/3 simplify

\frac{3}{6} + \frac{4}{3}

3^3\times 3^4+3^6

3^{3} \times 3^{4} + 3^{6}

9-(-11/3+2)

9 - (- \frac{11}{3} + 2)

(-1)^2-(-1)-2

(- 1)^{2} - (- 1) - 2

Frequently Asked Questions (FAQ)

What is 4 1/3 (2*2/3) ?
The solution to 4 1/3 (2*2/3) is 5 7/9