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Fractions

Complete the statement, using the symbol < or >. 4/7  5/8
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Answer by: Ganesha

Best Answer
Fractions can be compared, when their numerators or denominators are equal. Therefore, we can convert the given fractions into equivalent fractions with common denominators.

The denominators 7 and 8 have  the LCM 56. Therefore,
4/7 = 4*8/7*8  = 32/56
5/8 = 5*7/8*7  = 35/56

Threfore,32/56 < 35/56 ==>
4/7 <  5/8



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Answer by: Ratna Bhaduri

We can compare the numerators if we make the denominators equal.  

Take the L.C.M of 7 and 8 = 56

56/7 = 8. So multiply the numerator & denominator of 4/7 by 8.

56/8 = 7. So multiply the numerator and denominator of 5/8 by 7.

4/7 * 8/8 = 32/56

5/8 * 7/7 = 35/56

32/56 <35/56

So 4/7 <5/8
 

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Answer by: jtwilliams00

First Answer
4/7 = 4/7*1 = 4/7*8/8 = 32/56
5/8 = 5/8*1 = 5/8*7/7 = 35/56
32/56 < 35/ 56 which is the same as saying 4/7 < 5/8
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