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7/9= 0.777...

so no.

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Alternatively, working with fractions:

Convert to fractions with the same denominator and compare the numerators:

0.7 = 7/10 = (7×9)/(10×9) = 63/90

7/9 = (7×10)/(9×10) = 70/90

70 > 63 → 70/90 > 63/90 → 7/9 > 0.7

→ No, 0.7 is less than 7/9

Instead of converting to equivalent fractions with the same denominator to compare numerators, if (and only if) the numerators are the same, the fractions can be compared by comparing the denominators and the fraction with the larger denominator is the smaller fraction:

0.7 = 7/10

7/9

same numerators, so compare denominators:

10 > 9

→ 7/10 < 7/9

→ 0.7 < 7/9

→ No, 0.7 is less than 7/9

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7y ago

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