What is 1 1/4+(3 2/3+5 3/4) ?

The solution to 1 1/4+(3 2/3+5 3/4) is 10 2/3

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1 1/4+(3 2/3+5 3/4)

1 \frac{1}{4} + (3 \frac{2}{3} + 5 \frac{3}{4})

10 \frac{2}{3}

Solution steps

1 \frac{1}{4} + (3 \frac{2}{3} + 5 \frac{3}{4})

Convert mixed numbers to improper fractions:

1 \frac{1}{4} = \frac{5}{4}

= \frac{5}{4} + (3 \frac{2}{3} + 5 \frac{3}{4})

Convert mixed numbers to improper fractions:

3 \frac{2}{3} = \frac{11}{3}

= \frac{5}{4} + (\frac{11}{3} + 5 \frac{3}{4})

Convert mixed numbers to improper fractions:

5 \frac{3}{4} = \frac{23}{4}

= \frac{5}{4} + (\frac{11}{3} + \frac{23}{4})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{11}{3} + \frac{23}{4}) : \frac{113}{12}

= \frac{5}{4} + \frac{113}{12}

Add and subtract (left to right)

\frac{5}{4} + \frac{113}{12} : \frac{32}{3}

= \frac{32}{3}

Convert improper fractions to mixed numbers:

\frac{32}{3} = 10 \frac{2}{3}

= 10 \frac{2}{3}

7 (1 - 1) + 8

10 \times 10 + \frac{1}{2} \times 1 0^{2}

8 \cdot 18 \div 4 + 15

3^{3} - 3^{2}

2 0^{2} + 1 0^{2}