What is (1/2+2 3/5)+1 1/2 ?

The solution to (1/2+2 3/5)+1 1/2 is 4 3/5

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(1/2+2 3/5)+1 1/2

(\frac{1}{2} + 2 \frac{3}{5}) + 1 \frac{1}{2}

4 \frac{3}{5}

Solution steps

(\frac{1}{2} + 2 \frac{3}{5}) + 1 \frac{1}{2}

Convert mixed numbers to improper fractions:

1 \frac{1}{2} = \frac{3}{2}

= (\frac{1}{2} + 2 \frac{3}{5}) + \frac{3}{2}

Convert mixed numbers to improper fractions:

2 \frac{3}{5} = \frac{13}{5}

= (\frac{1}{2} + \frac{13}{5}) + \frac{3}{2}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{2} + \frac{13}{5}) : \frac{31}{10}

= \frac{31}{10} + \frac{3}{2}

Add and subtract (left to right)

\frac{31}{10} + \frac{3}{2} : \frac{23}{5}

= \frac{23}{5}

Convert improper fractions to mixed numbers:

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

= 4 \frac{3}{5}

- 90 + [(45 - 23 \cdot 2 + 5) \cdot 4]

4^{3} - 2^{3}

2 (1 - 3)^{2} + \frac{2}{3}

3^{7} - 2^{7}

(\frac{3}{6} - \frac{1}{2})^{2}