Write improper fraction as a mixed number or a whole number: 13/12

The Correct Answer and Explanation is:

Correct Answer:

13/12 as a mixed number is 1 1/12.

Explanation

To convert an improper fraction like 13/12 into a mixed number, we follow a few simple steps. An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). In this case, 13 is greater than 12, so it’s an improper fraction.

Step-by-step Conversion:

Divide the numerator by the denominator.
- 13 ÷ 12 = 1 with a remainder of 1.
Interpret the result.
- The quotient (1) becomes the whole number part of the mixed number.
- The remainder (1) becomes the new numerator, while the denominator stays the same.
Write the mixed number.
- So, 13/12 = 1 1/12.

This means that 13/12 is one whole plus one-twelfth more.

Why Do We Convert Improper Fractions?

Converting improper fractions to mixed numbers can make it easier to understand and visualize quantities. For example, if someone eats 13 slices of pizza and each pizza has 12 slices, then they ate 1 whole pizza and 1 slice of another pizza — that’s 1 1/12 pizzas.

Checking Your Work:

To verify, convert the mixed number back to an improper fraction:

1 1/12 = (1 × 12 + 1)/12 = (12 + 1)/12 = 13/12

So the conversion is correct.

Final Note:

This skill is helpful in both math problems and real-life situations, such as measuring or dividing items. Being comfortable converting between improper fractions and mixed numbers strengthens overall mathematical understanding and fluency.