Question

1. what is the length of y below? a. 1/4\ b. 1 3/8\ c. 2\ d. 2 3/4\ e. 2 3/8\

Explanation:

Step1: Convert mixed numbers to improper fractions

\(2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}\), \(x = \frac{7}{8}\)

Step2: Subtract the length of \(x\) from \(z\) (assuming \(z=2\frac{1}{4}+x\))

\(y=z - x\). Since \(z = 2\frac{1}{4}+x\), then \(y=2\frac{1}{4}\)
\(y = 2\frac{1}{4}- \frac{7}{8}\)
\(y=\frac{9}{4}-\frac{7}{8}\)
\(y=\frac{9\times2}{4\times2}-\frac{7}{8}\)
\(y=\frac{18}{8}-\frac{7}{8}\)
\(y=\frac{18 - 7}{8}=\frac{11}{8}=1\frac{3}{8}\)

Answer:

B. \(1\frac{3}{8}''\)