Thomas 2

Thomas is 56 3/4 inches tall. Jillian is 1 3/8 inches shorter than Thomas, and Jane is 1 1/5 inches shorter than Jillian. How tall is Jane?
Label the names on the tape diagram to represent this problem.

Jane
Jillian
Thomas
Excellent!

Correct answer:

J =  54 ⁷⁄₄₀ = 2167/40 in

Step-by-step explanation:

$$\begin{gathered} T=56\frac{3}{4}=56+\frac{3}{4}=\frac{56\cdot 4+3}{4}=\frac{224+3}{4}=\frac{227}{4}=56.75\text{in} \\ I=T-1\frac{3}{8}=\frac{227}{4}-1\frac{3}{8}=\frac{227}{4}-\frac{11}{8}=\frac{454}{8}-\frac{11}{8}=\frac{454-11}{8}=\frac{443}{8}=55.375\text{in} \\ J=I-1\frac{1}{5}=\frac{443}{8}-1\frac{1}{5}=\frac{443}{8}-\frac{6}{5}=\frac{2215}{40}-\frac{48}{40}=\frac{2215-48}{40}=\frac{2167}{40}=\frac{2167}{40}\text{in}=54\frac{7}{40}\text{in}=54.175\text{in} \end{gathered}$$

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