What is 5 3/8+(6 3/4-4 1/8) ?

The solution to 5 3/8+(6 3/4-4 1/8) is 8

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5 3/8+(6 3/4-4 1/8)

5 \frac{3}{8} + (6 \frac{3}{4} - 4 \frac{1}{8})

8

Solution steps

5 \frac{3}{8} + (6 \frac{3}{4} - 4 \frac{1}{8})

Convert mixed numbers to improper fractions:

5 \frac{3}{8} = \frac{43}{8}

= \frac{43}{8} + (6 \frac{3}{4} - 4 \frac{1}{8})

Convert mixed numbers to improper fractions:

6 \frac{3}{4} = \frac{27}{4}

= \frac{43}{8} + (\frac{27}{4} - 4 \frac{1}{8})

Convert mixed numbers to improper fractions:

4 \frac{1}{8} = \frac{33}{8}

= \frac{43}{8} + (\frac{27}{4} - \frac{33}{8})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{27}{4} - \frac{33}{8}) : \frac{21}{8}

= \frac{43}{8} + \frac{21}{8}

Add and subtract (left to right)

\frac{43}{8} + \frac{21}{8} : 8

= 8

(42 \div 2 \times 5) - (18 - 8)

8 \cdot 3^{2} - 5 \cdot 4 + 9

(- 3)^{2} - 3^{2} - 3^{0}

2 (0) + (1) - 4 (2)

1 4^{2} + 8^{2}