What is (4 3/5-4 1/2)\times 5 ?

The solution to (4 3/5-4 1/2)\times 5 is 1/2

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(4 3/5-4 1/2)\times 5

(4 \frac{3}{5} - 4 \frac{1}{2}) \cdot 5

\frac{1}{2}

Solution steps

(4 \frac{3}{5} - 4 \frac{1}{2}) \cdot 5

Convert mixed numbers to improper fractions:

4 \frac{3}{5} = \frac{23}{5}

= (\frac{23}{5} - 4 \frac{1}{2}) \cdot 5

Convert mixed numbers to improper fractions:

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

= (\frac{23}{5} - \frac{9}{2}) \cdot 5

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{23}{5} - \frac{9}{2}) : \frac{1}{10}

= \frac{1}{10} \cdot 5

Multiply and divide (left to right)

\frac{1}{10} \cdot 5 : \frac{1}{2}

= \frac{1}{2}

(4 - \frac{1}{2}) \frac{4}{3}

- 7 - 1 + 6 - 2

6 0^{2} - 110 + 4

(6 \cdot 5)^{2}

6^{2} \div 4 (2^{2}) - 2^{3} + 7