Adding Fractions
Adding like fractions:
3/12 + 7/12
10/12 or 5/6
Subtract like fractions:
5/9 - 3/9 =
2/9
Ellen planned to interview some applicants for a position in her office. If she scheduled 1/4 of an hour to meet each of them, how much time did she schedule for all 6 applicants?
She scheduled 1 1/2 hours to meet 6 applicants.
Fractions x whole numbers:
3/5 x 3
9/5 or 1 4/5
Whole numbers / fractions:
12 ÷ 1/2
24
Adding unlike fractions:
7/9 + 3/18 =
17/18
Subtract like fractions
17/18 - 12/18 =
5/18
After the interview, Ellen decided to hire two of the applicants and reject the others. Ellen’s assistant called back the applicants to tell them the result. She spent 1/30 of an hour calling each of the rejected applicants and 1/3 of an hour calling the hired applicants. How much time did the assistant spend making these calls?
The assistant spent 4/5 hours to make these calls.
Fraction multiplication:
4/7 x 4/3 =
16/21
fractions / fractions
7/8 divided by 3/4 =
28/24 or 1 1/6
Adding unlike fractions
8/10 + 3/5 =
14/10 or 1 2/5
Subtract unlike fractions:
9/24 - 3/12 =
3/24 or 1/8
Ethan is printing some materials for a meeting. If the printing of the first copy costs 1 1/2 dollars and other copies cost 4/5 of a dollar each to print, how much will it cost if he is making 13 copies?
It costs $11 1/10 ($11.10) to make 13 copies.
Multiplying fractions
3/4 x 5/8
15/32
Fractions / fractions:
5/8 ÷ 1/2
10/8 or 1 1/4
Adding unlike fractions
5/15 + 1/5 =
8/15
Subtract unlike fractions
3/4 - 1/2
1/4
Thomas decides to go on a vacation. He can go on leave for 2/3 of a month. Assume a month is 30 days, how many days of vacation can he have?
He can have 20 days of vacation.
Multiplying whole numbers and fractions
4 x 3/4 =
12/4 or 3
whole number / fraction
12 divided by 3/9
108/3 or 36
Adding unlike fractions
3/9 + 4/27 =
13/27
Subtracting unlike fractions
15/16 - 7/8
1/16
Thomas decides on a destination for his vacation. If he takes the train there, it will take him 5 1/8 hours to get there. If he takes the plane, it will take him 2 2/3 hours. How many hours does the plane save?
The plane saves 2 11/24 hours.
Multiplying fractions
9/10 x 9/10 =
81/100
Fraction divided by whole number:
7/12 divided by 8
7/96