Question

Solve and simplify 3/10 - 3/4
3/7
1/6
9/20
18/40

Answer 1

What will the answer be if it war 3/4 - 3/10

Answer 2

To solve the expression \( \frac{3}{10} - \frac{3}{4} \), we first need a common denominator.

The denominators are 10 and 4. The least common multiple (LCM) of 10 and 4 is 20.

Next, we convert each fraction to have a denominator of 20:

1. Convert \( \frac{3}{10} \):
\[
\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}
\]

2. Convert \( \frac{3}{4} \):
\[
\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
\]

Now we can perform the subtraction:
\[
\frac{6}{20} - \frac{15}{20} = \frac{6 - 15}{20} = \frac{-9}{20}
\]

Therefore, the simplified result of \( \frac{3}{10} - \frac{3}{4} \) is:
\[
\frac{-9}{20}
\]

Looking at the options you provided (3/7, 1/6, 9/20, 18/40), none of these options match the result. However, \( \frac{-9}{20} \) is the final answer.

Answer 3

To solve \( \frac{3}{4} - \frac{3}{10} \), we first need a common denominator.

The denominators are 4 and 10. The least common multiple (LCM) of 4 and 10 is 20.

Now, we convert each fraction to have a denominator of 20:

1. Convert \( \frac{3}{4} \):
\[
\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}
\]

2. Convert \( \frac{3}{10} \):
\[
\frac{3}{10} = \frac{3 \times 2}{10 \times 2} = \frac{6}{20}
\]

Now we can perform the subtraction:
\[
\frac{15}{20} - \frac{6}{20} = \frac{15 - 6}{20} = \frac{9}{20}
\]

Therefore, the simplified result of \( \frac{3}{4} - \frac{3}{10} \) is:
\[
\frac{9}{20}
\]

This matches one of your provided options: \( \frac{9}{20} \).