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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 34\frac{3}{4}, 716\frac{7}{16}, and 58\frac{5}{8} with the LCD.\newline(A) 2432\frac{24}{32}, 1432\frac{14}{32}, 2432\frac{24}{32}\newline(B) 34\frac{3}{4}, 24\frac{2}{4}, 34\frac{3}{4}\newline(C) 1216\frac{12}{16}, 716\frac{7}{16}, 1016\frac{10}{16}\newline(D) 916\frac{9}{16}, 4916\frac{49}{16}, 3616\frac{36}{16}

Full solution

Q. Express the fractions 34\frac{3}{4}, 716\frac{7}{16}, and 58\frac{5}{8} with the LCD.\newline(A) 2432\frac{24}{32}, 1432\frac{14}{32}, 2432\frac{24}{32}\newline(B) 34\frac{3}{4}, 24\frac{2}{4}, 34\frac{3}{4}\newline(C) 1216\frac{12}{16}, 716\frac{7}{16}, 1016\frac{10}{16}\newline(D) 916\frac{9}{16}, 4916\frac{49}{16}, 3616\frac{36}{16}
  1. Identify Denominators: Identify the denominators of the given fractions: 44, 1616, and 88.
  2. Find LCM: Find the least common multiple (LCM) of the denominators. LCM of 44, 1616, and 88 is 1616.
  3. Convert to Common Denominator: Convert each fraction to have the denominator of 1616. For 34\frac{3}{4}, multiply both numerator and denominator by 44 to get 1216\frac{12}{16}. For 716\frac{7}{16}, it remains the same. For 58\frac{5}{8}, multiply both numerator and denominator by 22 to get 1016\frac{10}{16}.

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