Adding and Subtracting Fractions
Find and Simplify:
8/20 - 4/20
8/20 - 4/20 = 1/5
Method:
8/20 - 4/20 = 8-4/20 = 4/20 ÷ 4 = 1/5
Find and Simplify:
4/8 x 2/4
4/8 x 2/4 = 1/4
Method:
4/8 x 2/4 = 8/32 ÷ 8 = 1/4
Mansour owes Mr. Usmaan 3/5 of $135. How much does Mansour owe Mr. Usmaan?
3/5 of $135 is $81, so Mansour owes Mr. Usmaan $81.
Method:
3/5 x 135/1
5÷5=1 135÷5=27
3/1 x 27/1 = 81/1 = $81
Convert 10/20 into a percentage.
10/20 into a percentage = 50%
Method:
10/20 x 5 = 50/100 = 50%
Convert 25% into a fraction.
25% into a fraction = 1/4
Method:
25% = 25/100 = 1/4
Find and Simplify:
1/6 + 4/8
1/6 + 4/8 = 2/3
Method:
1/6 + 4/8 = 1x8/6x8 + 4x6/8x6 = 8+24/48 = 32/48 ÷ 16 = 2/3
Find and Simplify:
2/4 x 1/6
2/4 x 1/6 = 1/12
Method:
2/4 x 1/6 = 2/24 ÷ 2 = 1/12
Faisal got 3/5 of 70 questions in a test correct. How many questions did Faisal get correct?
3/5 of 70 = 42, so Faisal got 42 questions correct on his test.
Method:
3/5 x 70/1 = 210/5 ÷ 5 = 42/1 = 42
Convert 10/40 into a decimal.
10/40 into a decimal is 0.25
Method:
10/40 = 10 ÷ 40 = 0.25
Find the reciprocal of -3/4
The reciprocal of -3/4 is -4/3
Method:
-3/4 (flip 3 and 4) = -4/3
Find 2/4 - 3 1/4 as an improper fraction.
2/4 - 3 1/4 = 11/4
Method:
2/4 - 3 1/4 = 2/4 - 13/4 = 13-2/4 = 11/4
Find and Simplify:
3/4 ÷ 1/4
3/4 ÷ 1/4 = 3
Method:
3/4 ÷ 1/4 = 3/4 x 4/1 = 12/4 ÷ 4 = 3/1 = 3
Workers eat 3/5 of a cake in morning and 3/8 of the cake in the afternoon. What fraction of the cake remains?
3/5 - 3/8 = 9/40 of the cake remains.
Method:
3/5 - 3/8 = 3/5 x 8 and 3/8 x 5 = 24/40 - 15/40 = 9/40
Convert 42% into a fraction.
42% into a fraction = 21/50
Method:
42% = 42/100 = 21/50
Find and Simplify:
4/8 + 6/16
4/8 + 6/16 = 14/16
Method:
4/8 + 6/16 = 4/8 x 2 = 8/16 + 6/16 = 14/16
Find 1 5/7 + 1 3/14 as an improper fraction.
1 5/7 + 1 3/14 = 41/14
Method:
1 5/7 + 1 3/14 = 12/7 + 17/14
12/7 x 2 = 24/14
24/14 + 17/14 = 41/14
Find and Simplify:
2/5 ÷ 3
2/5 ÷ 3 = 2/15
Method:
2/5 ÷ 3 = 2/5 x 1/3 = 2/15
3600 Liters of water are poured into bottle which can hold 1 1/4 Liters of water each. How much bottles can be filled?
3600 ÷ 1 1/4 = 2880
Method:
3600/1 ÷ 1 1/4 = 3600/1 x 4/5 = 14400/5 ÷ 5 = 2880/1 = 2880
Convert 0.246 into a fraction.
0.246 into a fraction = 123/500
Method:
0.246 = 0.246/1 x 1000 = 246/1000 ÷ 2 = 123/500
Find and Simplify as a mixed fraction:
42/32 ÷ 14/8
42/32 ÷ 14/8 = 1 1/3
Method:
32/42 ÷ 8/14 = 32/42 x 14/8 = 42 and 14 ÷ 14 = 32/3 x 1/8 = 32 and 8 ÷ 8 = 4/3 x 1/1 = 4/3 = 1 1/3
Find 19/5 - 29 as a mixed fraction.
19/5 - 19 = -15 1/5
Method:
19/5 - 19/1 = 19/1 x 5 = 95/5 = 19/5 - 95/5 = -76/5 = -15 1/5
Find and Simplify as a mixed fraction:
1 3/10 ÷ 1/2
1 3/10 ÷ 1/2 = 2 3/5
Method:
1 3/10 ÷ 1/2 = 13/10 x 2/1 = 26/10 = 13/5 = 2 3/5
Maan's income is now 3 1/2 times than what it was 5 years ago. If his current income is $63,000, what was his income 5 years ago?
Maan's income 5 years ago was $18000
Method:
63000/1 ÷ 3 1/2 = 63000/1 x 2/7 = 63000 ÷ 7 and 7 ÷ 7 = 9000/1 x 2/1 = 18000/1 = 18000
Convert 0.867 into a fraction.
0.8672 into a fraction = 271/125
Method:
0.8672/1 x 1000 = 8672/1000 ÷ 8 = 271/125
Find and Simplify as a mixed fraction:
12/32 x 23/26
12/32 x 23/26 = 3 2/69
Method:
32/12 x 26/23 = 832/276 ÷ 4 = 209/69 = 3 2/69