order the set of fractions from least to greatest. 7/5, 7/3, 7/9
Change these fractions either to decimals or to equivalent fractions with a common denominator of 45.
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7 / 9 , 7 / 5 , 7 / 3
To order the set of fractions from least to greatest, we can compare the fractions by finding a common denominator and then comparing the numerators.
The common denominator for 5, 3, and 9 is 45 (the product of the denominators).
To convert 7/5 to have a denominator of 45:
Multiply both the numerator and denominator of 7/5 by 9: (7 × 9) / (5 × 9) = 63/45
To convert 7/3 to have a denominator of 45:
Multiply both the numerator and denominator of 7/3 by 15: (7 × 15) / (3 × 15) = 105/45
To convert 7/9 to have a denominator of 45:
Multiply both the numerator and denominator of 7/9 by 5: (7 × 5) / (9 × 5) = 35/45
Now, we can compare the numerators:
35/45 < 63/45 < 105/45
Therefore, the correct order from least to greatest is: 35/45, 63/45, 105/45.