Question

the greatest fraction : 5/6,4/5,5/2,5/3​

Answer 1

Given:-

• the greatest fraction : 5/6,4/5,5/2,5/3.

To find:-

• The greatest fraction.

Solution:-

• $2 |6 \: \: \: \: \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: \: \: \: \: 2 \: \: \: \: \: \: \: \: \: \: \: 3| \\ \\ \\ 3|3 \: \: \: \: \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: \: \: \: \: 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3| \\ \\ \\ |1 \: \: \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1|$

${\mathtt{\huge{\green{\underline{L.C.M.=2×3×5=30}}}}}$

Make the denominators same:-

$= > \frac{5 \times 5}{6 \times 5} = \frac{25}{30} \\ \\ \\ = > \frac{4 \times 6}{5 \times 6} = \frac{24}{30} \\ \\ \\ = > \frac{5 \times 15}{2 \times 15} = \frac{75}{30} \\ \\ \\ = > \frac{5 \times 10}{3 \times 10} = \frac{50}{30}$

${\mathtt{\huge{\green{\underline{Greatest \: fraction=}}}}}$

${\mathtt{\huge{\green{\underline{=>75/30 \: i.e.,5/2}}}}}$

Explanation:-

hey mate! know about the solution above well↓↓.

• First any fraction cannot be judged as smaller or bigger if they have different denominators.

• So as far as we see the denominators are different so we need to make them equal.

So for that we followed given steps↓

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• First found the L.C.M. of denominators.

• Then made all fractions denominators equal to the L.C.M.

• For that we multiplied specific numbers to the denominators numbers.

• Now as we know what we do in denominators must have to be done in the numerators too.

• So we respectively multiplied specific numbers in the numerators too.

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• Now after that the new fractions we got were compared and as 75 is the greatest the fraction 75/30 which when put in standard form is 5/2 is the greatest fraction.

hope it helped!