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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4-1 2/3 \times 2 1/5

4 - 1 \frac{2}{3} \cdot 2 \frac{1}{5}

\frac{1}{3}

Solution steps

4 - 1 \frac{2}{3} \cdot 2 \frac{1}{5}

Convert mixed numbers to improper fractions:

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

1 \frac{2}{3}

Convert mixed numbers to improper fraction:

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

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

= \frac{5}{3}

= 4 - \frac{5}{3} \cdot 2 \frac{1}{5}

Convert mixed numbers to improper fractions:

2 \frac{1}{5} = \frac{11}{5}

2 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{11}{5}

= 4 - \frac{5}{3} \cdot \frac{11}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{5}{3} \cdot \frac{11}{5} : \frac{11}{3}

\frac{5}{3} \cdot \frac{11}{5}

\frac{5}{3} \cdot \frac{11}{5} = \frac{11}{3}

= \frac{11}{3}

= 4 - \frac{11}{3}

Add and subtract (left to right)

4 - \frac{11}{3} : \frac{1}{3}

4 - \frac{11}{3}

4 - \frac{11}{3} = \frac{1}{3}

4 - \frac{11}{3}

Convert element to fraction:

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

= \frac{4 \cdot 3}{3} - \frac{11}{3}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 3 - 11}{3}

4 \cdot 3 - 11 = 1

4 \cdot 3 - 11

Multiply the numbers:

4 \cdot 3 = 12

= 12 - 11

Subtract the numbers:

12 - 11 = 1

= 1

= \frac{1}{3}

= \frac{1}{3}

= \frac{1}{3}

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

(+ 3) + (- 2) \times (+ 5)

3^{6} + 4^{6} + 5^{6}

- (- 2)^{2} - 5 (2) + 1

8 - 3 - 5 \times 3 \times 9