Question1/2 - 3/10 = ?

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions $\frac{1}{}$ and $\frac{3}{10}$

STEP 2

To subtract fractions, they need to have the same denominator. So, we need to find a common denominator for these two fractions. The common denominator is typically the least common multiple (LCM) of the two denominators.

STEP 3

Find the LCM of2 and10. The LCM of2 and10 is10.

STEP 4

Now, we need to convert both fractions to have the denominator of10. The first fraction is $\frac{1}{2}$ , to convert it to a fraction with a denominator of10, we multiply both the numerator and the denominator by.
$\frac{1}{2} = \frac{1 \times}{2 \times} = \frac{}{10}$

STEP 5

The second fraction is already with a denominator of10, so we don't need to change it.

STEP 6

Now, we can subtract the two fractions as they have the same denominator.
$\frac{5}{10} - \frac{3}{10} = \frac{5 -3}{10}$

STEP 7

Subtract the numerators.
$\frac{5 -3}{10} = \frac{2}{10}$

STEP 8

The fraction $\frac{2}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is2.
$\frac{2}{10} = \frac{2 \div2}{10 \div2} = \frac{1}{5}$ So, $\frac{1}{2}-\frac{3}{10} = \frac{1}{5}$ .

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