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

The solution to 2+1 2/3 \times 2 2/5 is 6

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2+1 2/3 \times 2 2/5

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

6

Solution steps

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

= 2 + \frac{5}{3} \cdot 2 \frac{2}{5}

Convert mixed numbers to improper fractions:

2 \frac{2}{5} = \frac{12}{5}

2 \frac{2}{5}

Convert mixed numbers to improper fraction:

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

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

= \frac{12}{5}

= 2 + \frac{5}{3} \cdot \frac{12}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{5}{3} \cdot \frac{12}{5} : 4

\frac{5}{3} \cdot \frac{12}{5}

Cross-cancel common factor:

5

= \frac{12}{3}

Divide the numbers:

\frac{12}{3} = 4

= 4

= 2 + 4

Add and subtract (left to right)

2 + 4 : 6

2 + 4

2 + 4 = 6

= 6

= 6

4^{2} - 6

4^{2} + 5

(- 3 + 3)^{2}

4 (- 4)^{2} - 4

(4 \cdot 5)^{3}