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Find which is the larger of the two fractions: 11/32, 7/24 by expressing the numbers as:
a) fractions with the same denominator;
b) decimals.

Correct answer:

x =  11/32

Step-by-step explanation:

$$\begin{gathered} 32=2^5 \\ 24=2^3\cdot 3 \\ LCM(32,24)=2^5\cdot 3=96 \\ d=LCM(32,24)=96 \\ a=\frac{33}{96}=\frac{11}{32}\doteq 0.3438 \\ b=\frac{28}{96}=\frac{7}{24}\doteq 0.2917 \\ A \\ \frac{33}{96}>\frac{28}{96} \\ B \\ 0.3438>0.291666 \\ a>b \\ x=a=\frac{11}{32}=0.3438 \end{gathered}$$

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