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Rewrite the fraction as a decimal.\13/10
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The Correct Answer and Explanation is:
13/10 = 1.3
Explanation
To rewrite the fraction 13/10 as a decimal, follow these steps:
First, understand what a fraction means. A fraction like 13/10 represents division. The top number, called the numerator (13), is divided by the bottom number, called the denominator (10). So, 13/10 simply means 13 divided by 10.
Now, let’s perform the division:
13 ÷ 10 = 1.3
Here’s how that works:
10 goes into 13 one time (since 10 × 1 = 10). After subtracting 10 from 13, you are left with 3. Because there are no whole numbers left, you add a decimal point and a zero to continue dividing. Bring down the zero, making it 30. Now, 10 goes into 30 exactly 3 times. That gives you the decimal .3.
Putting the two parts together, you get 1.3 as your final answer.
Another way to understand it is by converting the fraction into a mixed number first. Since 13 is greater than 10, this is an improper fraction. Divide 13 by 10:
- 10 fits into 13 once, so the whole number part is 1
- The remainder is 3, which becomes the new numerator
- The denominator remains 10
So, 13/10 = 1 3/10
Now convert the fraction part, 3/10, into a decimal. Since 3 divided by 10 is 0.3, the full mixed number becomes 1 + 0.3 = 1.3
Thus, whether you divide directly or use mixed numbers, you get the same result: 13/10 = 1.3
This demonstrates a fundamental connection between fractions and decimals. Understanding this relationship makes it easier to move between the two forms, which is a useful skill in math, science, and everyday life.
