What is 5/8+2+3 2/5-4 3/4 ?

The solution to 5/8+2+3 2/5-4 3/4 is 1 11/40

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5/8+2+3 2/5-4 3/4

\frac{5}{8} + 2 + 3 \frac{2}{5} - 4 \frac{3}{4}

1 \frac{11}{40}

Solution steps

\frac{5}{8} + 2 + 3 \frac{2}{5} - 4 \frac{3}{4}

Convert mixed numbers to improper fractions:

3 \frac{2}{5} = \frac{17}{5}

= \frac{5}{8} + 2 + \frac{17}{5} - 4 \frac{3}{4}

Convert mixed numbers to improper fractions:

4 \frac{3}{4} = \frac{19}{4}

= \frac{5}{8} + 2 + \frac{17}{5} - \frac{19}{4}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{5}{8} + 2 + \frac{17}{5} - \frac{19}{4} : \frac{51}{40}

= \frac{51}{40}

Convert improper fractions to mixed numbers:

\frac{51}{40} = 1 \frac{11}{40}

= 1 \frac{11}{40}

(4)^{2} - 6 (4) + 5

\frac{( ( - 17 ) - 10 ) \times 2}{- 6}

3 + 5 \cdot (- 3) + 30

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

(- 32 + 43 - (- 18)) + (43 - (- 15))