What is 2/3 (4 1/6-1/7) ?

The solution to 2/3 (4 1/6-1/7) is 2 43/63

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2/3 (4 1/6-1/7)

\frac{2}{3} (4 \frac{1}{6} - \frac{1}{7})

2 \frac{43}{63}

Solution steps

\frac{2}{3} (4 \frac{1}{6} - \frac{1}{7})

Convert mixed numbers to improper fractions:

4 \frac{1}{6} = \frac{25}{6}

= \frac{2}{3} (\frac{25}{6} - \frac{1}{7})

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{25}{6} - \frac{1}{7}) : \frac{169}{42}

= \frac{2}{3} \cdot \frac{169}{42}

Multiply and divide (left to right)

\frac{2}{3} \cdot \frac{169}{42} : \frac{169}{63}

= \frac{169}{63}

Convert improper fractions to mixed numbers:

\frac{169}{63} = 2 \frac{43}{63}

= 2 \frac{43}{63}

8 (\frac{1}{2}) + 3 (7) - 18

\frac{( 8 - 2 ) 180}{8}

(3)^{2} + 1

(3)^{2} - 1

3^{3} \div 3