What is 3/8 \div 18/24-5/6 ?

The solution to 3/8 \div 18/24-5/6 is -1/3

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3/8 \div 18/24-5/6

\frac{3}{8} \div \frac{18}{24} - \frac{5}{6}

- \frac{1}{3}

Solution steps

\frac{3}{8} \div \frac{18}{24} - \frac{5}{6}

Apply the fraction rule:

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

= \frac{3}{8} \times \frac{24}{18} - \frac{5}{6}

\frac{3}{8} \times \frac{24}{18} = \frac{1}{2}

= \frac{1}{2} - \frac{5}{6}

Least Common Multiplier of

2, 6 : 6

Adjust Fractions based on the LCM

= \frac{3}{6} - \frac{5}{6}

Since the denominators are equal, combine the fractions:

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

= \frac{3 - 5}{6}

Subtract the numbers:

3 - 5 = - 2

= \frac{- 2}{6}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{2}{6}

Cancel the common factor:

2

= - \frac{1}{3}

cos (x) + cos^{2} (x)

\frac{108}{18}

50 f^{3}

\frac{2}{28}