Question

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

Explanation:

Step1: Convert mixed number to improper fraction

For \(1\frac{3}{5}\), we have \(1\frac{3}{5}=\frac{1\times5 + 3}{5}=\frac{8}{5}\)

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

Substitute the improper fraction: \(\frac{8}{5}-\frac{2}{5}=\frac{8 - 2}{5}=\frac{6}{5}=1.2\), which is greater than 1.

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

Substitute the improper fraction: \(\frac{8}{5}-\frac{4}{5}=\frac{8 - 4}{5}=\frac{4}{5}=0.8\), which is less than 1.

Step4: Calculate \(1\frac{3}{5}-\frac{3}{5}\)

Substitute the improper fraction: \(\frac{8}{5}-\frac{3}{5}=\frac{8 - 3}{5}=\frac{5}{5}=1\), which is equal to 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: \(1\frac{3}{5}-\frac{2}{5}\)