Questions: Complete the chart by deciding if each shown equivalent fraction is TRUE or FALSE. TRUE FALSE : 100/100=10/10 : 12/10=120/100 : 7/10=70/100 ≈ 6/100=6/10 : 150/10=15/100 : 2 2/100=20/10

$Complete the chart by deciding if each shown equivalent fraction is TRUE or FALSE. TRUE FALSE : 100/100=10/10 : 12/10=120/100 : 7/10=70/100 ≈ 6/100=6/10 : 150/10=15/100 : 2 2/100=20/10$

Transcript text: Complete the chart by deciding if each shown equivalent fraction is TRUE or FALSE. TRUE FALSE : $\frac{100}{100}=\frac{10}{10}$ : $\frac{12}{10}=\frac{120}{100}$ $:: \frac{7}{10}=\frac{70}{100}$ $\approx \frac{6}{100}=\frac{6}{10}$ $:: \frac{150}{10}=\frac{15}{100}$ $: 2 \frac{2}{100}=\frac{20}{10}$

Solution

Solution Steps

Step 1: Analyze the first fraction pair

The first pair is: \[ \frac{100}{100} = \frac{10}{10} \] Simplify both fractions: \[ \frac{100}{100} = 1 \quad \text{and} \quad \frac{10}{10} = 1 \] Since both fractions equal 1, the statement is TRUE.

Step 2: Analyze the second fraction pair

The second pair is: \[ \frac{12}{10} = \frac{120}{100} \] Simplify both fractions: \[ \frac{12}{10} = 1.2 \quad \text{and} \quad \frac{120}{100} = 1.2 \] Since both fractions equal 1.2, the statement is TRUE.

Step 3: Analyze the third fraction pair

The third pair is: \[ \frac{7}{10} = \frac{70}{100} \] Simplify both fractions: \[ \frac{7}{10} = 0.7 \quad \text{and} \quad \frac{70}{100} = 0.7 \] Since both fractions equal 0.7, the statement is TRUE.