Question

Which is smaller: 39/40 or 39/11​

Answer 1

Answer:

39/40 is smaller than 39/11

Step-by-step explanation:

The 2 fractions given are:

$\sf{\dfrac{39}{40}\:and\:\dfrac{39}{11}}$

Procedure:

For comparing any 2 fractions with different denominators, find the LCM of denominators and convert the numerator such that they are equivalent with the given fraction.

Solution:

Here, LCM of 40 and 11 is 440

$\implies \sf{\dfrac{(39\times11), (39\times40)}{440}}$

$\implies \sf{\dfrac{429, 1560}{440}}$

$\implies \sf{\dfrac{429}{440} \: and \: \dfrac{1560}{440}}$

Now that we have converted the given fraction into same denominators, we can easily compare the numerators.

We know that;

429 < 1560

Similarly,

$\sf{\dfrac{429}{440}<\dfrac{1560}{440}}$

$\therefore \: \boxed{\bf{\dfrac{39}{40}< \dfrac{39}{11}}}$

Alternate solution:

Divide the given fractions using long division method.

• 39/40 = 0.975
• 39/11 = 3.545

Clearly 0.975 is lesser than 3.545

⇒ 39/40 < 39/11

So, the smaller fraction is 39/40

Answer 2

To find :

the smaller fraction among 39/40 and 39/11

Always remember :

to compare any two or more fractions , make their denominator same by using LCM method .

Solution :

the LCM of 40 and 11 = 440

• hence, 39/40 = (39*11)/(40*11)

= 429/440

• and, 39/11 = (39*40)/(11*40)

= 1560/440

now, we will compare the numerators:

• 1560 is greater than 429
• or, 429 is smaller than 1560

therefore, 1560/440 is greater than 429/440

hence, 429/440 is the smaller fraction