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In subtracting fractions with regrouping. What is 7 - 3 1/2?

User Hoan Dang
by
6.8k points

1 Answer

2 votes

Answer:

7/2

Explanation:

Step 1: Convert the mixed fraction to an improper fraction

3 1/2 is 7/2 (multiply the denominator by the whole number,

then add the numerator, leave that new number

over the original denominator)

Now our expression is 7 - 7/2

Step 2: Find a common denominator

The common denominator is 2, so multiply 7 by 2/2

7(2/2) - 7/2

14/2 - 7/2 (14/2 = 7, but now we can combine fractions)

Step 3: Add or subtract numerators, here it's subtraction

14/2 - 7/2 = (14 - 7)/2 = 7/2

User Andrew Quebe
by
7.0k points