What is 3/4-1/2 \div 6/7 ?

The solution to 3/4-1/2 \div 6/7 is 1/6

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3/4-1/2 \div 6/7

\frac{3}{4} - \frac{1}{2} \div \frac{6}{7}

\frac{1}{6}

Solution steps

\frac{3}{4} - \frac{1}{2} \div \frac{6}{7}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{3}{4} - \frac{1}{2} \times \frac{7}{6}

\frac{1}{2} \times \frac{7}{6} = \frac{7}{12}

= \frac{3}{4} - \frac{7}{12}

Least Common Multiplier of

4, 12 : 12

Adjust Fractions based on the LCM

= \frac{9}{12} - \frac{7}{12}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{9 - 7}{12}

Subtract the numbers:

9 - 7 = 2

= \frac{2}{12}

Cancel the common factor:

2

= \frac{1}{6}

3^{2} + 7^{2}

(3 y - 4)^{2}

9 \times 12

9 \times 16

2 x^{3} - 2