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

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

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

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

3

Solution steps

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

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}

= 5 - \frac{6}{5} \cdot 1 \frac{2}{3}

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}

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

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{6}{5} \cdot \frac{5}{3} : 2

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

Cross-cancel common factor:

5

= \frac{6}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2

= 5 - 2

Add and subtract (left to right)

5 - 2 : 3

5 - 2

5 - 2 = 3

= 3

= 3

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

(2)^{3} - 2

(- 6)^{2} - 4 (1) (9)

0 - (1 \times 1)

- 2 (- 4)^{2}