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item #11 alex is organizing a bookshelf and needs $15\\frac{1}{2}$ inch…

Question

item #11
alex is organizing a bookshelf
and needs $15\frac{1}{2}$ inches of
space. he has $7\frac{5}{8}$ inches of
space available. how many
more inches of space does he
need?
(1 point)
\bigcirc $8\frac{7}{8}$
\bigcirc $8\frac{4}{8}$
\bigcirc $7\frac{7}{8}$
\bigcirc $7\frac{4}{8}$

Explanation:

Step1: Convert to common denominator

$15\frac{1}{2} = 15\frac{4}{8}$

Step2: Subtract available space

$15\frac{4}{8} - 7\frac{5}{8} = 14\frac{12}{8} - 7\frac{5}{8}$

Step3: Calculate the difference

$14\frac{12}{8} - 7\frac{5}{8} = 7\frac{7}{8}$

Answer:

$7\frac{7}{8}$