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Which of the following is a common denominator of
(3)/(4) and
(1)/(5)?
A. 35
B. 20
C. 15
D. 30

Which of the following is a common denominator of $\frac{3}{4}$ and $\frac{1}{5} ?$ $\newline$ A. $35$ $\newline$ B. $20$ $\newline$ C. $15$ $\newline$ D. $30$

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Least common denominator

Full solution

Q. Which of the following is a common denominator of

\frac{3}{4}

and

\frac{1}{5} ?

\newline

A.

35

\newline

B.

20

\newline

C.

15

\newline

D.

30

Find Common Denominator: To find a common denominator for the fractions $(\frac{3}{4})$ and $(\frac{1}{5})$ , we need to find a number that is a multiple of both denominators $4$ and $5$ .
Calculate Smallest Common Multiple: The smallest common multiple of $4$ and $5$ is their product since they are relatively prime (they have no common factors other than $1$ ).
Calculate Product: Calculating the product of $4$ and $5$ gives us $4 \times 5 = 20$ .
Determine Common Denominator: Therefore, $20$ is a common denominator for the fractions $(\frac{3}{4})$ and $(\frac{1}{5})$ .

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