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

The solution to 3 3/4-(2 3/8-1 3/4) is 3 1/8

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

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

3 \frac{1}{8}

Solution steps

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

Convert mixed numbers to improper fractions:

3 \frac{3}{4} = \frac{15}{4}

= \frac{15}{4} - (2 \frac{3}{8} - 1 \frac{3}{4})

Convert mixed numbers to improper fractions:

2 \frac{3}{8} = \frac{19}{8}

= \frac{15}{4} - (\frac{19}{8} - 1 \frac{3}{4})

Convert mixed numbers to improper fractions:

1 \frac{3}{4} = \frac{7}{4}

= \frac{15}{4} - (\frac{19}{8} - \frac{7}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{19}{8} - \frac{7}{4}) : \frac{5}{8}

= \frac{15}{4} - \frac{5}{8}

Add and subtract (left to right)

\frac{15}{4} - \frac{5}{8} : \frac{25}{8}

= \frac{25}{8}

Convert improper fractions to mixed numbers:

\frac{25}{8} = 3 \frac{1}{8}

= 3 \frac{1}{8}

- 8 + 7 - (3 + 4 - 9)

5 + (3 + 1) 25 + (3 + 1) 2

2 (2 + 5)

\frac{( + 3 ) + ( - 4 ) ( - 6 )}{( - 3 ) + ( - 4 ) - ( - 6 )}

9 + (- 2)^{3} - 2 (- 6^{2})