Question

item #3
what is \\(\frac{5}{6} - \frac{3}{8}\\)? choose the answer in the most simplified form.
(1 point)
\\(\circ \frac{1}{3}\\)
\\(\circ \frac{9}{16}\\)
\\(\circ \frac{1}{12}\\)
\\(\circ \frac{11}{24}\\)

Explanation:

Step1: Find a common denominator

The denominators are 6 and 8. The least common multiple of 6 and 8 is 24. So we rewrite the fractions with denominator 24.
$\frac{5}{6} = \frac{5\times4}{6\times4} = \frac{20}{24}$
$\frac{3}{8} = \frac{3\times3}{8\times3} = \frac{9}{24}$

Step2: Subtract the fractions

Now subtract the two fractions: $\frac{20}{24} - \frac{9}{24} = \frac{20 - 9}{24} = \frac{11}{24}$

Answer:

$\frac{11}{24}$ (corresponding to the option: $\boldsymbol{\frac{11}{24}}$)