What is 2-2 1/4 \times 4/5 ?

The solution to 2-2 1/4 \times 4/5 is 1/5

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2-2 1/4 \times 4/5

2 - 2 \frac{1}{4} \cdot \frac{4}{5}

\frac{1}{5}

Solution steps

2 - 2 \frac{1}{4} \cdot \frac{4}{5}

Convert mixed numbers to improper fractions:

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

2 \frac{1}{4}

Convert mixed numbers to improper fraction:

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

2 \frac{1}{4} = \frac{2 \cdot 4 + 1}{4}

= \frac{9}{4}

= 2 - \frac{9}{4} \cdot \frac{4}{5}

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{9}{4} \cdot \frac{4}{5} : \frac{9}{5}

\frac{9}{4} \cdot \frac{4}{5}

\frac{9}{4} \cdot \frac{4}{5} = \frac{9}{5}

= \frac{9}{5}

= 2 - \frac{9}{5}

Add and subtract (left to right)

2 - \frac{9}{5} : \frac{1}{5}

2 - \frac{9}{5}

2 - \frac{9}{5} = \frac{1}{5}

2 - \frac{9}{5}

Convert element to fraction:

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

= \frac{2 \cdot 5}{5} - \frac{9}{5}

Since the denominators are equal, combine the fractions:

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

= \frac{2 \cdot 5 - 9}{5}

2 \cdot 5 - 9 = 1

2 \cdot 5 - 9

Multiply the numbers:

2 \cdot 5 = 10

= 10 - 9

Subtract the numbers:

10 - 9 = 1

= 1

= \frac{1}{5}

= \frac{1}{5}

= \frac{1}{5}

3^{2} - 5 (3) + 7

4 (2) - 3

4 (2) - 1

6 \div (2 (2 + 1))

3 (- 4)^{3} + 5