What is 3 and 5 over 6 minus 2 and 7 over 15?

Answer 1

It is usually easier to convert mixed numbers to improper fractions and then do the subtraction.

To add/subtract fractions, the denominators (bottom numbers) must be equal; so first convert the fractions into equivalent fractions with the same denominator. Then the numerators (top numbers) are added/subtracted and the resulting fraction simplified (converting any improper fractions to mixed numbers);

→ 3 5/6 - 2 7/15 = (3×6+5)/6 - (2×15+7)/15

= 23/6 - 37/15

= (23×5)/(6×5) - (37×2)/(15×2)

= 115/30 - 74/30

= (115 - 74)/30

= 41/30

= (1×30 + 11)/30

= 1 11/30