Alexa needs to order Seventeen-fifths, 3Three-fourths, and StartFraction 19 over 20 EndFraction from least to greatest.
Which statements about those fractions are true? Check all that apply.
StartFraction 19 over 20 EndFraction is less than 3Three-fourths.
3Three-fourths is greater than Seventeen-fifths.
Seventeen-fifths is the largest fraction shown.
Two of the fractions shown are equivalent fractions.
20 is the common denominator of all 3 fractions.
The correct statements are:
StartFraction 19 over 20 EndFraction is less than 3Three-fourths.
Seventeen-fifths is the largest fraction shown.
20 is the common denominator of all 3 fractions.
To order the fractions from least to greatest, we can convert them to decimals:
StartFraction 19 over 20 EndFraction ≈ 0.95
3Three-fourths ≈ 0.75
Seventeen-fifths ≈ 3.4
Checking the statements:
1. StartFraction 19 over 20 EndFraction is less than 3Three-fourths. (True) -> 0.95 < 0.75
2. 3Three-fourths is greater than Seventeen-fifths. (False) -> 0.75 < 3.4
3. Seventeen-fifths is the largest fraction shown. (False) -> 0.75 < 3.4
4. Two of the fractions shown are equivalent fractions. (False) -> None of the fractions can be simplified or written as equivalent fractions.
5. 20 is the common denominator of all 3 fractions. (True) -> All three fractions have a denominator of 20.
Therefore, the correct statements are:
- StartFraction 19 over 20 EndFraction is less than 3Three-fourths.
- 20 is the common denominator of all 3 fractions.