Question

compare tge following pairs of rational number -3/4, -1/2
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Answer 1

Answer:

we need to compare the rational nos.

-3/4 and -1/2

ie. -3/4 and -2/4

now just by comparing the numerators we can say that, -2/4 is greater ,ie. -1/2 is greater

Answer 2

Answer:

∴$\frac{-3}{4}$  is less than   $\frac{-1}{2}$

Step-by-step explanation:

Given rational numbers are $\frac{-3}{4} , \frac{-1}{2}$

Required to compare the given two rational numbers

Solution:

In order to compare the two rational numbers, we should find the equivalent fractions of the two fractions. Equivalent fractions are the fractions with the same denominators.

The given two rational numbers are  $\frac{-3}{4} , \frac{-1}{2}$

The denominators are 4 and 2

LCM of the denominators = 4

Hence we need to make the denominator '4' in both the fractions

$\frac{-1}{2} = \frac{-1x2}{2X2}$ = $\frac{-2}{4}$

Hence the equivalent fractions of  $\frac{-3}{4} , \frac{-1}{2}$ are  $\frac{-3}{4} , \frac{-2}{4}$

In any two fractions, if the denominators are same, then the number with greater numerator will be greater

in two fractions  $\frac{-3}{4} , \frac{-2}{4}$, -3<-2

then we have$\frac{-3}{4} < \frac{-2}{4}$

∴$\frac{-3}{4}$  is less than  $\frac{-1}{2}$

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