What is 11/6 \div 5/2-7/25 ?

The solution to 11/6 \div 5/2-7/25 is 34/75

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11/6 \div 5/2-7/25

\frac{11}{6} \div \frac{5}{2} - \frac{7}{25}

\frac{34}{75}

Solution steps

\frac{11}{6} \div \frac{5}{2} - \frac{7}{25}

Apply the fraction rule:

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

= \frac{11}{6} \times \frac{2}{5} - \frac{7}{25}

\frac{11}{6} \times \frac{2}{5} = \frac{11}{15}

= \frac{11}{15} - \frac{7}{25}

Least Common Multiplier of

15, 25 : 75

Adjust Fractions based on the LCM

= \frac{55}{75} - \frac{21}{75}

Since the denominators are equal, combine the fractions:

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

= \frac{55 - 21}{75}

Subtract the numbers:

55 - 21 = 34

= \frac{34}{75}

\frac{1}{4} x + 2

\frac{2}{7 - 5}

\frac{5}{3} \times \frac{2}{3}

3 \times (- 16)