Question

Classify the pair of fractions as 'equal' or 'not equal' by first converting the mixed numbers to improper fractions:
b. A: 3&1/2 and B: 5/2

Answer 1

To convert the mixed numbers to improper fractions, we multiply the whole number by the denominator of the fraction and add the numerator.

For A: 3&1/2, we multiply 3 by 2 and add 1 to get the numerator of the improper fraction: (3*2) + 1 = 7. The denominator remains the same: 2. So A as an improper fraction is 7/2.

For B: 5/2, it is already an improper fraction.

Now we can compare the two improper fractions:

A: 7/2
B: 5/2

Since the numerators and denominators are equal, the two improper fractions are equal.

Therefore, A: 3&1/2 is equal to B: 5/2.