change each mixed number into an improper fraction 6 2/5
The Correct Answer and Explanation is:
To convert a mixed number like 6 256 \, \frac{2}{5}652 into an improper fraction, follow these steps:
Step 1: Multiply the whole number by the denominator of the fractional part.
In this case, the whole number is 6, and the denominator of the fraction is 5. Multiply:6×5=306 \times 5 = 306×5=30
Step 2: Add the numerator of the fractional part.
Now, add the numerator of the fraction 25\frac{2}{5}52, which is 2, to the result from Step 1:30+2=3230 + 2 = 3230+2=32
Step 3: Write the result as the numerator of the improper fraction.
The result from Step 2 (32) becomes the numerator, and the denominator remains the same as that of the fractional part, which is 5. Thus, the improper fraction is:325\frac{32}{5}532
Final Answer:
6 25=3256 \, \frac{2}{5} = \frac{32}{5}652=532
Explanation:
When converting mixed numbers to improper fractions, the whole number portion is multiplied by the denominator of the fractional part to give the total number of parts, and then the numerator of the fractional part is added to that result. This method ensures that the mixed number is accurately expressed as a single fraction where the numerator is greater than the denominator. The denominator of the improper fraction remains the same as the denominator of the fractional part of the mixed number.
