A Learning Task 3. Answer the following word problems. 1. It took Jose two-thirds of an hour to complete his math homework on Monday, three-fourths of an hour on Tuesday, and two-fifths of an hour on Wednesday. How many hours did it take Jose to complete his homework altogether? 2. Mika has three and seven-sixteenths cm of wire. She needs only two and five-eighths cm of wire for her project in TLE. How much wire does she need to cut?
Answers & Comments
Answer:
1.) = 1 49/60
2.) = 13/16
Step-by-step explanation:
1.)
Find the LCM.
LCM: 60
Divide every denominator (3,4,5) from 60 then multiply by the numerator (2,3,2).
60÷3= 20 ×2= 40
60÷4= 15 ×3= 45
60÷5= 12 ×2= 24
add all the result (40,45,24).
40/60 + 45/60 + 24/60 = 109/60
turn into mixed number using Division.
109÷60= 1 r.49
1 49/60
try to simplify.
1 49/60
is already the Lowest Term.
2.) 3 7/16 - 2 5/8
Find the LCM.
LCM: 16
Divide every denominator (16,8) from 16 then multiply by the numerator (7,5).
16÷16= 1 ×7= 7
16÷8= 2 ×5= 10
= 3 7/16 - 2 10/16
Subtract (after turning the mixed number into improper fractions).
3 7/16 = 55/16
2 10/16 = 42/16
55-42= 13
= 13/16
try to simplify.
13/16
is already the Lowest Term.