What is (4 1/2-5 1/3)-7/8 ?

The solution to (4 1/2-5 1/3)-7/8 is -41/24

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(4 1/2-5 1/3)-7/8

(4 \frac{1}{2} - 5 \frac{1}{3}) - \frac{7}{8}

- \frac{41}{24}

Solution steps

(4 \frac{1}{2} - 5 \frac{1}{3}) - \frac{7}{8}

Convert mixed numbers to improper fractions:

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

= (\frac{9}{2} - 5 \frac{1}{3}) - \frac{7}{8}

Convert mixed numbers to improper fractions:

5 \frac{1}{3} = \frac{16}{3}

= (\frac{9}{2} - \frac{16}{3}) - \frac{7}{8}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{9}{2} - \frac{16}{3}) : - \frac{5}{6}

= - \frac{5}{6} - \frac{7}{8}

Add and subtract (left to right)

- \frac{5}{6} - \frac{7}{8} : - \frac{41}{24}

= - \frac{41}{24}

- 7 + (- 2) + 3

\frac{( - 2 ) ^{7}}{( - 2 ) ^{5}}

\frac{( 71 + 9 ^{2} )}{2 ^{2}}

3^{3} \cdot (12 - 2) \div 2

- 7 \times (- 4 + 2) + 5 - (- 3 \times 8)