Question

which one isgreater in3/2of7/4or5/6of1/7

Answer 1

3/2= 1.5

7/4= 1.75

5/6= .83

1/7 = .14

so 7/4 is greater

Answer 2

$\textbf{\boxed{\frac{7}{4}}}$ $\: or \: \frac{147}{84}$

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To compare Fractions, their Denominator must be same.

• So, we need to make denominator of $\large\bf{\frac{3}{2} ; \frac{7}{4} ; \frac{5}{6} ; \frac{1}{7}}$.

• To do so, we need to find LCM of their Denominators.

• LCM of 2 ; 4 ; 6 ; 7 is ,when calculated 84.

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Making their Denomnator equal to 84.....

$\frac{3 \times 42}{2 \times 42} = \frac{126}{84}\\\\\frac{7 \times 21}{4 \times 21} = \frac{147}{84}\\\\\frac{5 \times 14}{6 \times 14} = \frac{70}{84}\\\\\frac{1 \times 12}{7 \times 12} = \frac{12}{84}$

So, the numbers are :-

$\bf\large{\frac{126}{84} ; \frac{147}{84} ; \frac{70}{84} ; \frac{12}{84} }\\\\Comparing \: the \: values, \\\\ \frac{147}{84} > \frac{126}{84} > \frac{70}{84} > \frac{12}{84}$

$\bf{Hence, \frac{7}{4}}$

$\: is \: the \: Greatest \: Number \\ in \: the \: given \: set \: of \: numbers.}$

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