What is 5 1/3*(3\div 1 1/3) ?

The solution to 5 1/3*(3\div 1 1/3) is 12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 1/3*(3\div 1 1/3)

5 \frac{1}{3} \cdot (3 \div 1 \frac{1}{3})

12

Solution steps

5 \frac{1}{3} \cdot (3 \div 1 \frac{1}{3})

Convert mixed numbers to improper fractions:

5 \frac{1}{3} = \frac{16}{3}

= \frac{16}{3} \cdot (3 \div 1 \frac{1}{3})

Convert mixed numbers to improper fractions:

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

= \frac{16}{3} \cdot (3 \div \frac{4}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(3 \div \frac{4}{3}) : \frac{9}{4}

= \frac{16}{3} \cdot \frac{9}{4}

Multiply and divide (left to right)

\frac{16}{3} \cdot \frac{9}{4} : 12

= 12

(- 1)^{4} + 2 (- 1) + 1

4 (- 2 + 3)

- 7 + 11 + 2 \cdot (2 - 1 + 3) - 4

(11 - 1) (3 - 1)

3^{4} \times 12