Mastering Mixed Numbers and Unlike Denominators

Answer explanation

To convert the mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. In this case, 3 * 4 + 1 = 13, so the improper fraction is 13/4.

Answer explanation

To add the mixed numbers, first convert them to improper fractions. Then add the fractions and whole numbers separately. The result is 3 5/6.

Answer explanation

To subtract mixed numbers, convert both to improper fractions. Then subtract the fractions and whole numbers separately. The result is 2\frac{1}{6}.

Answer explanation

To convert the improper fraction 22/7 to a mixed number, divide 22 by 7 to get 3 with a remainder of 1. Therefore, the mixed number is 3 1/7.

Answer explanation

To add mixed numbers, convert them to improper fractions, add, then simplify. 4 3/8 = 35/8, 2 5/9 = 23/9. Adding gives 35/8 + 23/9 = 79/72 = 1 7/72 = 6 79/72.

Answer explanation

To subtract mixed numbers, convert both to improper fractions. Then subtract the fractions and whole numbers separately. The result is 1 whole, 11/12 remaining, which is equivalent to 1 11/12.

Answer explanation

To convert the mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. In this case, 5 * 5 + 3 = 28. The denominator remains the same, so the improper fraction is 28/5.

Answer explanation

To add the mixed numbers, convert them to improper fractions, find a common denominator, add the fractions, then convert back to a mixed number. The result is 8 39/40.

Answer explanation

To subtract mixed numbers, convert both to improper fractions. Then subtract the fractions and whole numbers separately. The result is 1\frac{11}{12}.

Answer explanation

To convert the improper fraction 55/8 to a mixed number, divide 55 by 8 to get 6 with a remainder of 7. The mixed number is 6 7/8.