QuestionCalculate: $\frac{3}{5}-\frac{1}{10}=$

Studdy Solution

STEP 1

Assumptions1. We are given two fractions $\frac{3}{5}$ and $\frac{1}{10}$ . . We need to subtract the second fraction from the first one.

STEP 2

To subtract fractions, the denominators of the fractions must be the same. In this case, the denominators are5 and10. The least common multiple (LCM) of5 and10 is10.

STEP 3

We rewrite the fraction $\frac{3}{5}$ with denominator10. To do this, we multiply both the numerator and the denominator by2.
$\frac{3}{5} = \frac{3 \times2}{5 \times2} = \frac{6}{10}$

STEP 4

Now that both fractions have the same denominator, we can subtract them.
$\frac{6}{10} - \frac{1}{10}$

STEP 5

Subtract the numerators and keep the denominator.
$\frac{ -1}{10} = \frac{5}{10}$

STEP 6

The fraction $\frac{5}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is5.
$\frac{5}{10} = \frac{5 \div5}{10 \div5} = \frac{1}{2}$ So, $\frac{3}{5}-\frac{1}{10} = \frac{1}{2}$ .

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QuestionCalculate: $\frac{3}{5}-\frac{1}{10}=$

Studdy Solution

STEP 1

Assumptions1. We are given two fractions $\frac{3}{5}$ and $\frac{1}{10}$ . . We need to subtract the second fraction from the first one.

STEP 2

To subtract fractions, the denominators of the fractions must be the same. In this case, the denominators are5 and10. The least common multiple (LCM) of5 and10 is10.

STEP 3

We rewrite the fraction $\frac{3}{5}$ with denominator10. To do this, we multiply both the numerator and the denominator by2.
$\frac{3}{5} = \frac{3 \times2}{5 \times2} = \frac{6}{10}$

STEP 4

Now that both fractions have the same denominator, we can subtract them.
$\frac{6}{10} - \frac{1}{10}$

STEP 5

Subtract the numerators and keep the denominator.
$\frac{ -1}{10} = \frac{5}{10}$

STEP 6

The fraction $\frac{5}{10}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is5.
$\frac{5}{10} = \frac{5 \div5}{10 \div5} = \frac{1}{2}$ So, $\frac{3}{5}-\frac{1}{10} = \frac{1}{2}$ .

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QuestionCalculate: 35−110=\frac{3}{5}-\frac{1}{10}=53​−101​=

Studdy Solution

STEP 1

Assumptions1. We are given two fractions 35\frac{3}{5}53​ and 110\frac{1}{10}101​. . We need to subtract the second fraction from the first one.

STEP 2

To subtract fractions, the denominators of the fractions must be the same. In this case, the denominators are5 and10. The least common multiple (LCM) of5 and10 is10.

STEP 3

We rewrite the fraction 35\frac{3}{5}53​ with denominator10. To do this, we multiply both the numerator and the denominator by2.35=3×25×2=610\frac{3}{5} = \frac{3 \times2}{5 \times2} = \frac{6}{10}53​=5×23×2​=106​

STEP 4

Now that both fractions have the same denominator, we can subtract them.610−110\frac{6}{10} - \frac{1}{10}106​−101​

STEP 5

Subtract the numerators and keep the denominator.−110=510\frac{ -1}{10} = \frac{5}{10}10−1​=105​

STEP 6

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QuestionCalculate: $\frac{3}{5}-\frac{1}{10}=$

Assumptions1. We are given two fractions $\frac{3}{5}$ and $\frac{1}{10}$ . . We need to subtract the second fraction from the first one.

We rewrite the fraction $\frac{3}{5}$ with denominator10. To do this, we multiply both the numerator and the denominator by2.
$\frac{3}{5} = \frac{3 \times2}{5 \times2} = \frac{6}{10}$

Now that both fractions have the same denominator, we can subtract them.
$\frac{6}{10} - \frac{1}{10}$

Subtract the numerators and keep the denominator.
$\frac{ -1}{10} = \frac{5}{10}$