What is $37 / 6$ reduced to a mixed number?
Answer (2)
Divide the numerator (37) by the denominator (6) to get the quotient and remainder.
The quotient (6) is the whole number part of the mixed number.
The remainder (1) is the numerator of the fractional part, with the original denominator (6).
Express the improper fraction as a mixed number: 6 6 1 .
Explanation
Understanding the Problem We need to convert the improper fraction 6 37 into a mixed number. A mixed number consists of a whole number and a proper fraction.
Division To convert 6 37 to a mixed number, we divide the numerator (37) by the denominator (6).
Finding Quotient and Remainder When we divide 37 by 6, we get a quotient of 6 and a remainder of 1. This can be written as: 37 ÷ 6 = 6 remainder 1
Forming the Mixed Number The quotient (6) becomes the whole number part of the mixed number, and the remainder (1) becomes the numerator of the fractional part. The denominator of the fractional part remains the same as the original denominator (6).
Final Result Therefore, the mixed number is 6 6 1 .
Examples
Mixed numbers are useful in everyday situations, such as measuring ingredients for a recipe. For example, if a recipe calls for 2 2 1 cups of flour, it's easy to visualize and measure 2 full cups and then half of another cup. Similarly, when calculating time, like 3 4 1 hours, it translates to 3 hours and 15 minutes, making it practical for scheduling and planning.
To convert 6 37 into a mixed number, divide 37 by 6, which gives a quotient of 6 and a remainder of 1. This results in the mixed number 6 6 1 .
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