Question

find the difference 2/15 -1/20 please send the answer fast it is very urgent

Answer 1

Here is your answer

Answer 2

Answer:

Concept:

Difference:

• The difference is the outcome of subtracting one integer from another.
• How much two numbers differ from one another.

• For instance, the variation between $9$ and $4$ is $5$.
• Convert the fractions with a common denominator before subtracting to determine the difference between two fractions with different denominators.
• After that, we must subtract the new numerators.

Given:

The given expression is $\frac{2}{15} -\frac{1}{20}$.

To Find:

We need to find the difference between the given fractions.

Solution:

We need to find the LCM of the denominators ( $15$ and $20$ )

$15 = 5*3$

$20=5*2*2$

LCM of  $15$ and $20$ $=5*3*2*2=60$

∴ LCM of $15$ and $20$ is $60$.

Let's convert each of the given fractions into an equivalent fraction that has $60$ as its denominator.

⇒  $\frac{2}{15} -\frac{1}{20}$

⇒  $\frac{2*4}{15*4} -\frac{1*3}{20*3}$

⇒  $\frac{8}{60} -\frac{3}{60}$

⇒  $\frac{8-3}{60}$

⇒  $\frac{5}{60}$

⇒  $\frac{1}{12}$

∴  $\frac{2}{15} -\frac{1}{20} = \frac{1}{12}$

Therefore, the difference is $\frac{1}{12}$.

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