What is 4 2/9-(2 1/4+2/3) ?

The solution to 4 2/9-(2 1/4+2/3) is 1 11/36

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4 2/9-(2 1/4+2/3)

4 \frac{2}{9} - (2 \frac{1}{4} + \frac{2}{3})

1 \frac{11}{36}

Solution steps

4 \frac{2}{9} - (2 \frac{1}{4} + \frac{2}{3})

Convert mixed numbers to improper fractions:

4 \frac{2}{9} = \frac{38}{9}

= \frac{38}{9} - (2 \frac{1}{4} + \frac{2}{3})

Convert mixed numbers to improper fractions:

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

= \frac{38}{9} - (\frac{9}{4} + \frac{2}{3})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{9}{4} + \frac{2}{3}) : \frac{35}{12}

= \frac{38}{9} - \frac{35}{12}

Add and subtract (left to right)

\frac{38}{9} - \frac{35}{12} : \frac{47}{36}

= \frac{47}{36}

Convert improper fractions to mixed numbers:

\frac{47}{36} = 1 \frac{11}{36}

= 1 \frac{11}{36}

39 \times (15 \div 3) - 16

\frac{( 170 - 61 ) ^{2}}{61}

\frac{1}{3 ^{2} - 9}

1 0^{0} + 5^{0}

\frac{12}{2 ( - 8 ) + 16}