What is (3-1 1/5)\times 1/9 ?

The solution to (3-1 1/5)\times 1/9 is 1/5

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(3-1 1/5)\times 1/9

(3 - 1 \frac{1}{5}) \cdot \frac{1}{9}

\frac{1}{5}

Solution steps

(3 - 1 \frac{1}{5}) \cdot \frac{1}{9}

Convert mixed numbers to improper fractions:

1 \frac{1}{5} = \frac{6}{5}

1 \frac{1}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{6}{5}

= (3 - \frac{6}{5}) \cdot \frac{1}{9}

Follow the PEMDAS order of operations

Calculate within parentheses

(3 - \frac{6}{5}) : \frac{9}{5}

3 - \frac{6}{5}

3 - \frac{6}{5} = \frac{9}{5}

3 - \frac{6}{5}

Convert element to fraction:

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

= \frac{3 \cdot 5}{5} - \frac{6}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{3 \cdot 5 - 6}{5}

3 \cdot 5 - 6 = 9

3 \cdot 5 - 6

Multiply the numbers:

3 \cdot 5 = 15

= 15 - 6

Subtract the numbers:

15 - 6 = 9

= 9

= \frac{9}{5}

= \frac{9}{5}

= \frac{9}{5} \cdot \frac{1}{9}

Multiply and divide (left to right)

\frac{9}{5} \cdot \frac{1}{9} : \frac{1}{5}

\frac{9}{5} \cdot \frac{1}{9}

\frac{9}{5} \cdot \frac{1}{9} = \frac{1}{5}

= \frac{1}{5}

= \frac{1}{5}

1 5^{2} + 3 5^{2}

- 5 - 52 - 8 + 20

- 2 + 10 - 8 \cdot 9 + 5 \cdot 4 + 12 \div 4 - 11 \div 1

(1 + 3)^{2} \cdot 6

2 - 2 (- 4)