Question

enter an exact number.subtract as indicated without a calculator. reduce to simplest form.$-\frac{1}{8}-\frac{9}{16}$resourcesread itsubmit answerviewing saved work revert to last response15. - / 1 points 0/100 submissions usedadd or subtract as indicated.james needs $\frac{2}{3}$ cup of milk for one recipe and an additional $4\frac{1}{2}$ cups of milk for another recipe. how many cups (number.)cups

Explanation:

Step1: Find common denominator for first problem

The least common denominator of 8 and 16 is 16. Rewrite $\frac{1}{8}$ as $\frac{2}{16}$.
$-\frac{1}{8} = -\frac{2}{16}$

Step2: Subtract the fractions

Subtract the numerators over the common denominator.
$-\frac{2}{16} - \frac{9}{16} = \frac{-2 - 9}{16} = \frac{-11}{16}$

Step3: Convert mixed number for second problem

Convert $4\frac{1}{2}$ to an improper fraction: $4\frac{1}{2} = \frac{9}{2}$

Step4: Find common denominator for second problem

The least common denominator of 3 and 2 is 6. Rewrite fractions:
$\frac{2}{3} = \frac{4}{6}$, $\frac{9}{2} = \frac{27}{6}$

Step5: Add the fractions

Add the numerators over the common denominator.
$\frac{4}{6} + \frac{27}{6} = \frac{31}{6}$

Step6: Convert to mixed number (optional, exact form)

$\frac{31}{6} = 5\frac{1}{6}$

Answer:

First problem: $\boldsymbol{-\frac{11}{16}}$
Second problem: $\boldsymbol{\frac{31}{6}}$ or $\boldsymbol{5\frac{1}{6}}$