Question

Which of the following fraction is smallest ? 1/2, 3/7, 3/5, 4/9​

Answer 1

Answer:

3/7

Step-by-step explanation:

First convert all into like fractions:

To convert we need to find the LCM of 2,7,5,9 (denominators), the LCM would be 630.

Now convert all the denominators to 630 by multiplying with a suitable factor.

1/2 will become 315/630

3/7 will become 270/630

3/5 will become 378/630

4/9 will become 280/630

As we can see that 270/630 is the smallest of all as it has the least value of numerator.

270/630 is equal to 3/7.

Hence, 3/7 is the smallest of all.

Hope it helps.........

Answer 2

Given: Fractions - 1/2, 3/7, 3/5 and 4/9

To find: Which of these fractions is the smallest

Solution:

To compare the fractions, first we need to change them to Like fraction form since it's not possible to compare unlike fraction.

Changing fractions to Like fraction form-

Step 1: Take L.C.M. of the denominators i.e., 2, 7, 5 and 9

L.C.M. of 2, 7, 5 and 9 is 630

Step 2: Multiply the fractions with such numbers so that the resulting denominator becomes 630

To find those numbers, we can divide 630 with the denominators

For 1/2, divide 630 by 2. The result is 315

now, $\frac{1}{2}$ × $\frac{315}{315}$ = $\frac{315}{630}$

For 3/7, divide 630 by 7. The result is 90.

$\frac{3}{7}$ × $\frac{90}{90}$ = $\frac{270}{630}$

For 3/5, divide 630 by 5. The result is 126.

$\frac{3}{5}$ × $\frac{126}{126}$ = $\frac{378}{630}$

For 4/9, divide 630 by 9. The result is 70.

$\frac{4}{9}$ × $\frac{70}{70}$ = $\frac{280}{630}$

The fractions are 315/630, 270/630, 378/630 and 280/630

Now, we can compare numerators of the fractions to find the smallest fractions as denominators are same in all.

On observing, we can see that 270/630 is the smallest fraction which is equal to 3/7.

Hence, the smallest fraction  is 3/7.