Question

Amongst the following fractions, the largest
and second-largest fractions, respectively are
5/6, 3/4, 1/2, 2/3, 3/5

Answer 1

Answer:

largest is 50/60 or 5/6

2nd largest is 45/60 or 3/4

Step-by-step explanation:

LCM = 60

50/60 , 45/60 , 30/60 , 40/60 , 36/60

largest is 50/60 or 5/6

2nd largest is 45/60 or 3/4

Answer 2

Question

• $\frac{5}{6}$ , $\frac{3}{4}$ , $\frac{1}{2}$ , $\frac{2}{3}$ , $\frac{3}{5}$

To find

• We, have to find the Largest and the Second-Largest fraction.

Solution

• To find the Largest and the Second-Largest fractions we first have to make the Fractions equal.

• To make the Fractions equal we have to find the LCM of the given Fractions denominators.

• Now, we have to find the LCM of 6, 4, 2, 3, 5, Because they are the denominators of given Fractions.

$\Large{ \begin{array}{c|c} \tt 2 & \sf{ 6 , 4 , 2 , 3 , 5} \\ \cline{1-2} \tt 2 & \sf { 3 , 2 , 1 , 3 , 5} \\ \cline{1-2} \tt 3 & \sf{ 3 , 1 , 1 , 3 , 5} \\ \cline{1-2} \tt 5 & \sf{ 1 , 1 , 1 , 1 , 5 } \\ \cline{1-2} & \sf{ 1 , 1 , 1 , 1 , 1} \end{array}}$

[Note:- Kindly visit the site Brainly.in to see the LCM diagram.]

$\sf\purple{✯ \ Hence, \ the \ LCM \ is \ 60}$

✯ $\sf \pink{\dfrac{5}{6}}$ × $\sf \blue{\dfrac{10}{10}}$ = $\sf \green{\dfrac{50}{60}}$

✯ $\sf \red{\dfrac{3}{4}}$ × $\sf\pink{\dfrac{15}{15}}$ = $\sf \gray{\dfrac{45}{60}}$

✯ $\sf \pink{\dfrac{1}{2}}$ × $\sf \blue{\dfrac{30}{30}}$ = $\sf \green{\dfrac{30}{60}}$

✯ $\sf \red{\dfrac{2}{3}}$ × $\sf \green{\dfrac{20}{20}}$ = $\sf {\dfrac{40}{60}}$

✯ $\sf \purple{\dfrac{3}{5}}$ × $\sf \blue{\dfrac{12}{12}}$ = $\sf \orange{\dfrac{36}{60}}$

Now, we have got :-

$\sf {\dfrac{50}{60}}$ = $\sf {\dfrac{5}{6}}$

$\sf {\dfrac{45}{60}}$ = $\sf {\dfrac{3}{4}}$

$\sf {\dfrac{30}{60}}$ = $\sf {\dfrac{1}{2}}$

$\sf {\dfrac{40}{60}}$ = $\sf {\dfrac{2}{3}}$

$\sf {\dfrac{36}{60}}$ = $\sf {\dfrac{3}{5}}$

So, we know that

$\sf\green{\dfrac{50}{60}}$ = $\sf {\dfrac{5}{6}}$ is the largest

$\sf\blue{\dfrac{45}{60}}$ = $\sf {\dfrac{3}{4}}$ is the second-largest

•°• Hence, verified!

Note:-

• If we have to find the greatest, smallest etc.. in the Fractions and they are not Equal so we have to find the LCM of their Denominators and then we have to multiply that Fraction with the digit that should be obtain answer as same as LCM.

• Then we it will be easy to find the greatest, smallest etc.. among them.

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