Classify the pair of fractions as 'equal' or 'not equal' by first converting the mixed numbers to improper fractions:
a. A: 4&6/7 and B: 3&4/7
To convert the mixed numbers to improper fractions, we first multiply the whole number by the denominator of the fraction part, then add the numerator.
For A: 4&6/7, we have 4 x 7 = 28. Adding the numerator 6, gives us 28 + 6 = 34. So the improper fraction for A is 34/7.
For B: 3&4/7, we have 3 x 7 = 21. Adding the numerator 4, gives us 21 + 4 = 25. So the improper fraction for B is 25/7.
Now we can compare the two fractions:
A: 34/7
B: 25/7
Since the numerators (34 and 25) are not equal, the fractions are not equal.