What is (3/9 \div 3/1) 4/1 ?

The solution to (3/9 \div 3/1) 4/1 is 4/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(3/9 \div 3/1) 4/1

(\frac{3}{9} \div \frac{3}{1}) \frac{4}{1}

\frac{4}{9}

Solution steps

(\frac{3}{9} \div \frac{3}{1}) \frac{4}{1}

\frac{3}{9} = \frac{1}{3}

Cancel the common factor:

3

\frac{1}{3}

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

\frac{3}{1} = 3

Apply rule

\frac{a}{1} = a

3

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

\frac{4}{1} = 4

Apply rule

\frac{a}{1} = a

4

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{1}{3} \div 3 \cdot 4 : \frac{4}{9}

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

\frac{1}{3} \div 3 = \frac{1}{9}

\frac{1}{3} \div 3

Convert element to fraction:

3 = \frac{3}{1}

= \frac{1}{3} \div \frac{3}{1}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{1}{9}

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

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

\frac{1}{9} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

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

Apply the fraction rule:

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

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

Multiply the numbers:

1 \cdot 4 = 4

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

Multiply the numbers:

9 \cdot 1 = 9

= \frac{4}{9}

= \frac{4}{9}

= \frac{4}{9}

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

12 (0)^{2} - 12

\frac{[ 4 ] ^{3}}{2}

1^{2} + 5 (1) + 4

16 \div (4 - 2) + (- 4)