Question

Compare the given fractions :
9/20,13/25​

Answer 1

The operation of comparing fractions:

9/20 and 13/25

Reduce (simplify) fractions to their lowest terms equivalents:

9/20 already reduced to the lowest terms;

the numerator and denominator have no common prime factors:

9 = 32;

20 = 22 × 5;

13/25 already reduced to the lowest terms;

the numerator and denominator have no common prime factors:

13 is a prime number;

25 = 52;

>> Reduce (simplify) fractions to their simplest form, online calculator

To sort fractions in ascending order, build up their denominators the same.

Calculate LCM, the least common multiple of the denominators of the fractions.

LCM will be the common denominator of the compared fractions.

In this case, LCM is also called LCD, the least common denominator.

The prime factorization of the denominators:

20 = 22 × 5

25 = 52

Multiply all the unique prime factors, by the largest exponents:

LCM (20, 25) = 22 × 52 = 100

Calculate LCM, the least common multiple, online calculator

Calculate the expanding number of each fraction

Divide LCM by the denominator of each fraction:

For fraction: 9/20 is 100 ÷ 20 = (22 × 52) ÷ (22 × 5) = 5

For fraction: 13/25 is 100 ÷ 25 = (22 × 52) ÷ 52 = 4

Expand the fractions

Build up all the fractions to the same denominator (which is LCM).

Multiply the numerators and denominators by their expanding number:

9/20 = (5 × 9)/(5 × 20) = 45/100

13/25 = (4 × 13)/(4 × 25) = 52/100

The fractions have the same denominator, compare their numerators.

The larger the numerator the larger the positive fraction.

::: Comparing operation :::

The final answer:

The fractions sorted in ascending order:

45/100 < 52/100

The initial fractions in ascending order:

9/20 < 13/25

HOPE IT HELP YOU

Answer 2

Answer:

13/25 ≥ 9/20

13/25 is greater than 9/20

First we need to make the denominator equal by taking the LCM

So the LCM of 25 and 20 is 100

So now we have to multiply the numerator by which we have mad the denominator equal eg-9/20*5=45/100

so we get the values as 45/100 , 52/100

so here 52 is greater than 45 hence 52/100≥45/100

So 13/25≥9/20