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$Express the fractions 3//4,7//16, and 5//8 with the LCD. (A) 24//32,14//32,24//32 (B) 3//4,2//4,3//4 (C)12//16,7//16,10//16 (D) 9//16,49//16,36//16$

Express the fractions $\frac{3}{4}$ , $\frac{7}{16}$ , and $\frac{5}{8}$ with the LCD. $\newline$ (A) $\frac{24}{32}$ , $\frac{14}{32}$ , $\frac{24}{32}$ $\newline$ (B) $\frac{3}{4}$ , $\frac{2}{4}$ , $\frac{3}{4}$ $\newline$ (C) $\frac{12}{16}$ , $\frac{7}{16}$ , $\frac{10}{16}$ $\newline$ (D) $\frac{9}{16}$ , $\frac{49}{16}$ , $\frac{36}{16}$

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Find trigonometric ratios using the unit circle

Full solution

Q. Express the fractions

\frac{3}{4}

,

\frac{7}{16}

, and

\frac{5}{8}

with the LCD.

\newline

(A)

\frac{24}{32}

,

\frac{14}{32}

,

\frac{24}{32}

\newline

(B)

\frac{3}{4}

,

\frac{2}{4}

,

\frac{3}{4}

\newline

(C)

\frac{12}{16}

,

\frac{7}{16}

,

\frac{10}{16}

\newline

(D)

\frac{9}{16}

,

\frac{49}{16}

,

\frac{36}{16}

Identify Denominators: Identify the denominators of the given fractions: $4$ , $16$ , and $8$ .
Find LCM: Find the least common multiple (LCM) of the denominators. LCM of $4$ , $16$ , and $8$ is $16$ .
Convert to Common Denominator: Convert each fraction to have the denominator of $16$ . For $\frac{3}{4}$ , multiply both numerator and denominator by $4$ to get $\frac{12}{16}$ . For $\frac{7}{16}$ , it remains the same. For $\frac{5}{8}$ , multiply both numerator and denominator by $2$ to get $\frac{10}{16}$ .

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