What is (4 2/5+7 8/9)-6 2/4 ?

The solution to (4 2/5+7 8/9)-6 2/4 is 5 71/90

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(4 2/5+7 8/9)-6 2/4

(4 \frac{2}{5} + 7 \frac{8}{9}) - 6 \frac{2}{4}

5 \frac{71}{90}

Solution steps

(4 \frac{2}{5} + 7 \frac{8}{9}) - 6 \frac{2}{4}

Convert mixed numbers to improper fractions:

6 \frac{2}{4} = \frac{26}{4}

= (4 \frac{2}{5} + 7 \frac{8}{9}) - \frac{26}{4}

Convert mixed numbers to improper fractions:

4 \frac{2}{5} = \frac{22}{5}

= (\frac{22}{5} + 7 \frac{8}{9}) - \frac{26}{4}

Convert mixed numbers to improper fractions:

7 \frac{8}{9} = \frac{71}{9}

= (\frac{22}{5} + \frac{71}{9}) - \frac{26}{4}

\frac{26}{4} = \frac{13}{2}

= \frac{22}{5} + \frac{71}{9} - \frac{13}{2}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{22}{5} + \frac{71}{9} - \frac{13}{2} : \frac{521}{90}

= \frac{521}{90}

Convert improper fractions to mixed numbers:

\frac{521}{90} = 5 \frac{71}{90}

= 5 \frac{71}{90}

2 - 2 (0)

4 (- 1)^{2} + 5 (- 1) + 3

2 \times 1 + 4

2 \times 1 + 3

2 \times 1 - 5