Fill in the boxes to write $\frac{12}{7}$ as a mixed number.
Improper fraction: $\frac{12}{7}$
Mixed number:
Answer (2)
Divide the numerator (12) by the denominator (7) to get the quotient and remainder.
The quotient (1) becomes the whole number part of the mixed number.
The remainder (5) becomes the numerator of the fractional part, keeping the original denominator (7).
The mixed number is 1 7 5 .
Explanation
Understanding the Problem We are asked to convert the improper fraction 7 12 into a mixed number. A mixed number consists of a whole number and a proper fraction.
Conversion Process To convert an improper fraction to a mixed number, we divide the numerator by the denominator. The quotient becomes the whole number part of the mixed number, and the remainder becomes the numerator of the fractional part, with the original denominator remaining the same.
Performing the Division Divide 12 by 7. 12 ÷ 7 = 1 with a remainder of 5
Forming the Mixed Number The quotient is 1, so the whole number part of the mixed number is 1. The remainder is 5, so the numerator of the fractional part is 5. The denominator remains 7. Therefore, the mixed number is 1 7 5 .
Final Answer The improper fraction 7 12 can be written as the mixed number 1 7 5 .
Examples
Imagine you are baking a cake and the recipe calls for 7 12 cups of flour. It's easier to measure this amount if you think of it as 1 whole cup and 7 5 of another cup. Mixed numbers help us understand quantities in more practical terms, especially in cooking, construction, or any situation where we deal with measurements.
The improper fraction 7 12 can be converted to the mixed number 1 7 5 . This is done by dividing the numerator by the denominator to find the whole number and the remainder. The remainder forms the numerator of the fractional part, over the original denominator.
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