Question

Sylvia spent an afternoon working on an art project. she painted for 3/7 of an hour and glued objects for 4/9 of an hour. How much longer did sylvia spend gluing objects than painting? Show your answer in fractions form

Answer 1

Sylvia spent 1/63 of an hour longer gluing objects than painting.

Step-by-step explanation:

Sylvia spent 3/7 of an hour painting and 4/9 of an hour gluing objects. To find out how much longer she spent gluing objects than painting, we need to subtract the time spent painting from the time spent gluing objects.

Time spent gluing objects - Time spent painting = 4/9 - 3/7

To subtract fractions, we need a common denominator. The least common multiple of 7 and 9 is 63. We can rewrite the fractions with the common denominator:

Time spent gluing objects - Time spent painting = (4/9) * (7/7) - (3/7) * (9/9)

= 28/63 - 27/63

= 1/63

Therefore, Sylvia spent 1/63 of an hour longer gluing objects than painting.