How to turn 64/9 into a mixed number
The Correct Answer and Explanation is:
To turn the improper fraction 649\frac{64}{9}964 into a mixed number, follow these steps:
Step 1: Divide the numerator by the denominator
Divide 64 by 9:64÷9=7 with a remainder of 164 \div 9 = 7 \text{ with a remainder of } 164÷9=7 with a remainder of 1
This means 9 goes into 64 a total of 7 whole times, and there is 1 left over.
Step 2: Write as a mixed number
The whole number part is 7. The remainder becomes the numerator of the fractional part, and the denominator stays the same:649=719\frac{64}{9} = 7 \frac{1}{9}964=791
Explanation
Improper fractions are fractions where the numerator (top number) is greater than or equal to the denominator (bottom number). In this case, 649\frac{64}{9}964 is improper because 64 is larger than 9. Turning it into a mixed number helps us express it as a combination of a whole number and a proper fraction.
The process begins by dividing the numerator by the denominator. When dividing 64 by 9, you find how many full groups of 9 fit into 64. Since 9×7=639 \times 7 = 639×7=63, you can fit 7 whole groups. After taking out 63, you are left with 1. This leftover value is called the remainder.
Next, you write the quotient (7) as the whole number part of the mixed number. The remainder (1) becomes the numerator of the fraction, and the original denominator (9) remains the same. So, the result is 7197 \frac{1}{9}791.
Mixed numbers are useful in everyday life. For example, if you are dividing 64 pieces of candy among 9 people, each person would get 7 whole pieces, and there would be 1 piece left to share, which is 19\frac{1}{9}91 of another full share.
In conclusion, turning an improper fraction into a mixed number involves dividing, identifying the whole part, and using the remainder to create the fractional part. This makes numbers easier to understand in real-world contexts.
