Please help me answer this
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Please help me answer this
(With solution)
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Answer:
1. 4 1/4 or 17/4
2. 4 11/12 or 58/12
3. 1 7/24 or 31/24
4. 2 2/3 or 8/3
5. 6 2/3 or 18/3
Step-by-step explanation:
1. 2 3/4 + 1 1/2
start with the whole no.
= 2+1 = 3
then the fractions:
3/4 + 1/2
= 3/4 + 2/4
= 5/4 or 1 1/4
since 1 is a whole no. add it to '3'
3+1 1/4 = 4 1/4
2. 1 3/4 + 1 1/2 + 1 2/3
start with whole no.
= 1 + 1 + 1 = 3
then the fractions:
3/4 + 1/2 + 2/3
= 9/12 + 6/12 + 8/12
= 23/12 or 1 11/12
3+ 1 11/12 = 4 11/12
3. 5/8 + 2/3
simplify: (24 is the lcd)
15/24 + 16/24
= 31/24 or 1 7/24
4. 7 5/6 - (2 2/3 + 2 1/2)
add first the 2 fraction:
2 2/3 + 2 1/2
start with whole no.
= 2 + 2 = 4
then the fraction:
= 2/3 + 1/2
= 4/6 + 3/6
= 7/6 or 1 1/6
4 + 1 1/6 = 5 1/6
then the difference:
7 5/6 - 5 1/6
start again with whole no.
7 - 5 = 2
then the fractions:
5/6 - 1/6
= 4/6 or 2/3
answer: 2 2/3
5. (5 1/2 - 1 1/2) + (3 3/12 - 1 1/2)
5 1/2 - 1 1/2 = 4
3 3/12 - 1 1/2
= 39/12 - 7/12
= 32/12 or 2 2/3
4 + 2 2/3 = 6 2/3
11/4 + 3/2
11/4 + 6/4
15/4
= 3 3/4 kg of rice
2. 1 3/4 + 1 1/2 + 1 2/3
7/4 + 3/2 + 5/3
21/12+ 18/12 + 20/12
=59/12
=4 11/12 km far he jog
3. 5/8 + 2/3
15/24+ 16/24
=31/24
=1 7/24 meters long
4. 7 5/6 – 2 2/3+2 1/2
47/6 – 8/3 + 5/2
47/6 – 16/6 + 12/6
47/6 – 28/6
=19/6
= 3 1/6 kg of sugar were left
5. mangoes:
5 1/2-1 1/2
=4kg of mangoes were left
apples:
3 3/12-1 1/2
39/12 -3/2
39/12-18/12
=21/12
=1 9/12 or 1 3/4 apples were left