Question

divide as indicated. reduce to simplest form.
$-\frac{3}{5} \div (21)$
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identify the number of terms.
$\frac{3}{4} \cdot \frac{5}{9} + \frac{2}{3} \cdot \frac{7}{8} - 5$
term(s)
simplify using the order-of-operations agreement

Explanation:

Step1: Rewrite division as multiplication

$-\frac{3}{5} \div 21 = -\frac{3}{5} \times \frac{1}{21}$

Step2: Multiply numerators and denominators

$-\frac{3 \times 1}{5 \times 21} = -\frac{3}{105}$

Step3: Simplify the fraction

$-\frac{3}{105} = -\frac{1}{35}$

Step4: Count terms in expression

Terms are separated by +/-. The expression $\frac{3}{4} \cdot \frac{5}{9} + \frac{2}{3} \cdot \frac{7}{8} - 5$ has 3 terms: $\frac{3}{4} \cdot \frac{5}{9}$, $\frac{2}{3} \cdot \frac{7}{8}$, and $-5$.

Step5: Simplify each term first

$\frac{3}{4} \cdot \frac{5}{9} = \frac{15}{36} = \frac{5}{12}$
$\frac{2}{3} \cdot \frac{7}{8} = \frac{14}{24} = \frac{7}{12}$

Step6: Combine simplified terms

$\frac{5}{12} + \frac{7}{12} - 5 = \frac{12}{12} - 5 = 1 - 5$

Step7: Calculate final value

$1 - 5 = -4$

Answer:

$-\frac{1}{35}$
3 term(s)
$-4$