QuestionCalculate $\frac{1}{2}-\frac{1}{5}$ . What is the result?

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions $\frac{1}{}$ and $\frac{1}{5}$ . . The operation is subtraction, denoted by the "-" sign.

STEP 2

To subtract fractions, we need to have a common denominator. In this case, the denominators are2 and5. The least common multiple (LCM) of2 and5 is10.

STEP 3

We can convert each fraction to an equivalent fraction with a denominator of10.For $\frac{1}{2}$ , we multiply both the numerator and the denominator by5 to get $\frac{5}{10}$ .
For $\frac{1}{5}$ , we multiply both the numerator and the denominator by2 to get $\frac{2}{10}$ .

STEP 4

Now, we can subtract the two fractions since they have the same denominator.
$\frac{}{10} - \frac{2}{10} = \frac{ -2}{10}$

STEP 5

Subtract the numerators.
$\frac{5 -2}{10} = \frac{3}{10}$ So, $\frac{1}{2}-\frac{1}{5} = \frac{3}{10}$ .

Was this helpful?

QuestionCalculate $\frac{1}{2}-\frac{1}{5}$ . What is the result?

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions $\frac{1}{}$ and $\frac{1}{5}$ . . The operation is subtraction, denoted by the "-" sign.

STEP 2

To subtract fractions, we need to have a common denominator. In this case, the denominators are2 and5. The least common multiple (LCM) of2 and5 is10.

STEP 3

We can convert each fraction to an equivalent fraction with a denominator of10.For $\frac{1}{2}$ , we multiply both the numerator and the denominator by5 to get $\frac{5}{10}$ .
For $\frac{1}{5}$ , we multiply both the numerator and the denominator by2 to get $\frac{2}{10}$ .

STEP 4

Now, we can subtract the two fractions since they have the same denominator.
$\frac{}{10} - \frac{2}{10} = \frac{ -2}{10}$

STEP 5

Subtract the numerators.
$\frac{5 -2}{10} = \frac{3}{10}$ So, $\frac{1}{2}-\frac{1}{5} = \frac{3}{10}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionCalculate 12−15\frac{1}{2}-\frac{1}{5}21​−51​. What is the result?

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions 1\frac{1}{}1​ and 15\frac{1}{5}51​. . The operation is subtraction, denoted by the "-" sign.

STEP 2

To subtract fractions, we need to have a common denominator. In this case, the denominators are2 and5. The least common multiple (LCM) of2 and5 is10.

STEP 3

We can convert each fraction to an equivalent fraction with a denominator of10.For 12\frac{1}{2}21​, we multiply both the numerator and the denominator by5 to get 510\frac{5}{10}105​.For 15\frac{1}{5}51​, we multiply both the numerator and the denominator by2 to get 210\frac{2}{10}102​.

STEP 4

Now, we can subtract the two fractions since they have the same denominator.10−210=−210\frac{}{10} - \frac{2}{10} = \frac{ -2}{10}10​−102​=10−2​

STEP 5

Subtract the numerators.5−210=310\frac{5 -2}{10} = \frac{3}{10}105−2​=103​So, 12−15=310\frac{1}{2}-\frac{1}{5} = \frac{3}{10}21​−51​=103​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionCalculate $\frac{1}{2}-\frac{1}{5}$ . What is the result?

Assumptions1. We are subtracting two fractions $\frac{1}{}$ and $\frac{1}{5}$ . . The operation is subtraction, denoted by the "-" sign.

We can convert each fraction to an equivalent fraction with a denominator of10.For $\frac{1}{2}$ , we multiply both the numerator and the denominator by5 to get $\frac{5}{10}$ .
For $\frac{1}{5}$ , we multiply both the numerator and the denominator by2 to get $\frac{2}{10}$ .

Now, we can subtract the two fractions since they have the same denominator.
$\frac{}{10} - \frac{2}{10} = \frac{ -2}{10}$

Subtract the numerators.
$\frac{5 -2}{10} = \frac{3}{10}$ So, $\frac{1}{2}-\frac{1}{5} = \frac{3}{10}$ .