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Chapter 1: Problem 3

Convert each mixed number to an improper fraction. $$7 \frac{3}{5}$$

Short Answer

Expert verified
The mixed number \(7 \frac{3}{5}\) converts to the improper fraction \(\frac{38}{5}\)

Step by step solution

01

Identify the Components of the Mixed Number

We begin by identifying the components of the mixed number. Here, 7 is the whole number and \(\frac{3}{5}\) is the fraction.
02

Multiply the Whole Number by the Denominator

Next, we multiply the whole number by the denominator of the fraction. In this case, that means multiplying 7 (the whole number) by 5 (the denominator). This gives us 35.
03

Add the Result to the Numerator of the Fraction

Now, add the result from the previous step to the numerator of the fraction. In this case, we add 35 to 3 (the numerator), giving us 38.
04

Write the Result as an Improper Fraction

Finally, we write the result as an improper fraction. The result from step 3 becomes the new numerator, and the original denominator remains the same. Our final answer is \(\frac{38}{5}\)

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