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To solve the problem , we will follow a structured approach:
Let's work through each step:
Step 1: Multiply the whole number by the numerator.
We have .
Step 2: Keep the denominator the same.
The resulting fraction is .
Step 3: Convert the improper fraction to a mixed number if possible.
Divide the numerator by the denominator: with a remainder of .
This results in the mixed number .
Therefore, the solution to the problem is , which corresponds to choice 3 in the provided options.
\( 5:\frac{2}{5}= \)
When multiplying a whole number by a fraction, you're finding 7 groups of 2/5. The denominator tells you the size of each piece, which stays the same. Only the number of pieces (numerator) changes!
Not always! Both and are correct answers. However, mixed numbers are often preferred because they're easier to understand and compare.
Convert when the numerator is larger than the denominator. Divide the numerator by denominator: the quotient becomes the whole number, and the remainder becomes the new numerator.
Great! That means your answer is a whole number. For example, with no fractional part.
Yes! If the whole number and denominator share common factors, you can simplify first. For example, with , divide both 6 and 3 by 3 first.
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