The simplified form of the expressions: 4 2/7 - 2 1/3, 4.5 - 2 5/8 and 5 2/8 - 15% are 41/21, 15/8 and 51/10 respectively.
What are the simplified form of the expression?
1) 4 2/7 - 2 1/3
First we convert the mixed fraction 4 2/7 and 2 1/3 into an improper fraction.
4 2/7 = (7×4 + 2 )/7 = 30/7
2 1/3 = (3×2 + 1 )/3 = 7/3
Hence,
30/7 - 7/3
( 30×3 - 7×7 )/21
( 90 - 49 )/21
41/21
2) 4.5 - 2 5/8
First we convert both 4.5 and 2 5/8 into an improper fraction.
4.5 = 4 5/10 = (4×10 + 5)/10 = 45/10 = 9/2
2 5/8 = (2×8 + 5 )/8 = 21/8
Hence,
9/2 - 21/8
(9×8 - 21×2 )/16
(72 - 42 )/16
30/16
15/8
3) 5 2/8 - 15%
First we convert both 5 2/8 and 15% into an improper and proper fraction respectively.
5 2/8 = (5×8 + 2)/8 = 42/8 = 21/4
15% = 15/100 = 3/20
Hence
21/4 - 3/20
(21×20 - 3×4 )/80
(420 - 12 )/80
408/80
51/10
Therefore, the simplified form of the expressions: 4 2/7 - 2 1/3, 4.5 - 2 5/8 and 5 2/8 - 15% are 41/21, 15/8 and 51/10 respectively.
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