\begin{tabular}{l|l} 47. Rewrite the fractions $$ \frac{1}{3} $$ and $$ \frac{3}{5} $$ as fractions with a least & 48 \ common denominator. \end{tabular}

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UpStudy AI · Accepted Answer

1. Identify the denominators of the fractions: $$3$$ and $$5$$.

2. Find the least common multiple (LCM) of $$3$$ and $$5$$. Since they have no common factors other than $$1$$, their LCM is their product:
   $$
   \text{LCM} = 3 \times 5 = 15.
   $$

3. Rewrite each fraction with the denominator $$15$$.

- For $$\frac{1}{3}$$, multiply the numerator and denominator by $$5$$:
     $$
     \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}.
     $$

- For $$\frac{3}{5}$$, multiply the numerator and denominator by $$3$$:
     $$
     \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15}.
     $$

4. The fractions with the least common denominator are:
   $$
   \frac{1}{3} = \frac{5}{15} \quad \text{and} \quad \frac{3}{5} = \frac{9}{15}.
   $$
$$ \frac{1}{3} = \frac{5}{15} \quad \text{and} \quad \frac{3}{5} = \frac{9}{15} $$

47. Rewrite the fractions and as fractions with a least 48

common denominator.

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47. Rewrite the fractions and as fractions with a least	48
common denominator.

47. Rewrite the fractions and as fractions with a least 48 common denominator.