Question

1. determine if each expression is less than, equal to, or greater than 1. less than 1 equal to 1 greater than 1 answer bank $1\frac{3}{5}-\frac{3}{5}$ $1\frac{3}{5}-\frac{2}{5}$ $1\frac{3}{5}-\frac{4}{5}$

Explanation:

Step1: Simplify \(1\frac{3}{5} - \frac{3}{5}\)

First, convert the mixed number \(1\frac{3}{5}\) to an improper fraction. \(1\frac{3}{5}=\frac{1\times5 + 3}{5}=\frac{8}{5}\). Then subtract \(\frac{3}{5}\): \(\frac{8}{5}-\frac{3}{5}=\frac{8 - 3}{5}=\frac{5}{5} = 1\). So this expression is equal to 1.

Step2: Simplify \(1\frac{3}{5}-\frac{2}{5}\)

Again, \(1\frac{3}{5}=\frac{8}{5}\). Subtract \(\frac{2}{5}\): \(\frac{8}{5}-\frac{2}{5}=\frac{8 - 2}{5}=\frac{6}{5}\). Since \(\frac{6}{5}=1.2>1\), this expression is greater than 1.

Step3: Simplify \(1\frac{3}{5}-\frac{4}{5}\)

\(1\frac{3}{5}=\frac{8}{5}\). Subtract \(\frac{4}{5}\): \(\frac{8}{5}-\frac{4}{5}=\frac{8 - 4}{5}=\frac{4}{5}\). Since \(\frac{4}{5}=0.8<1\), this expression is less than 1.

Answer:

• Less than 1: \(1\frac{3}{5}-\frac{4}{5}\)
• Equal to 1: \(1\frac{3}{5}-\frac{3}{5}\)
• Greater than 1: \(1\frac{3}{5}-\frac{2}{5}\)