Question

Use numerals instead of words. If necessary, use / for the fraction bar(s). Subtract. Write your answer in simplest form.

a) 9/15 - 2 13/15
b) 6 2/15
c) 7 1/15
d) 7 3/15

Answer 1

To subtract fractions, convert any mixed numbers to improper fractions and find the least common denominator. Then, subtract the fractions by subtracting the numerators and keeping the denominator the same. Finally, simplify the resulting fraction if needed.

Step-by-step explanation:

To subtract fractions, we need to have a common denominator. In this case, the least common denominator of 15 and 1 is 15.

a) To subtract 9/15 - 2 13/15, convert the whole number to a fraction by multiplying it by the denominator. So 2 13/15 becomes 2 x 15 + 13 /15 = 30/15 + 13/15 = 43/15. Now subtract 9/15 - 43/15 = -34/15.

b) To subtract 6 2/15, convert the mixed number to an improper fraction. So 6 2/15 becomes 6 x 15 + 2 /15 = 90/15 + 2/15 = 92/15.

c) To subtract 7 1/15, convert the mixed number to an improper fraction. So 7 1/15 becomes 7 x 15 + 1 /15 = 105/15 + 1/15 = 106/15.

d) To subtract 7 3/15, convert the mixed number to an improper fraction. So 7 3/15 becomes 7 x 15 + 3 /15 = 105/15 + 3/15 = 108/15.