Adding and Subtracting Fractions with Word Problems

Frances rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. How many miles did she ride altogether?

• Frances rode her bike for three-fifths of a mile altogether.

• Frances rode her bike for four-fifths of a mile altogether.

• Frances rode her bike for two-fifths of a mile altogether.

• Frances rode her bike for six-fifths of a mile altogether.

To add or subtract, two fractions must have...

• a monkey

• a common denominator

• unlike terms

• the same numerators

It took Gerard five-thirds of an hour to complete his math homework on Monday, three-fourths of an hour on Tuesday, and five-sixths of an hour on Wednesday. How many hours did he take to complete his homework altogether?

• It took Gerard a half an hour to complete his homework altogether.

• It took Gerard two and two-fourth hours to complete his homework altogether.

• It took Gerard three and one-thrid hours to complete his homework altogether.

• It took Gerard three and one-fourth hours to complete his homework altogether.

When Alex had one cat, he needed to serve 1/2 of a can of cat food each day. Now that Alex has adopted a second cat, he needs to serve a total of 2/3 of a can each day. How much extra food is needed to feed the second cat?

Applying Operations on Fractions in Word Problems: If John ate 3/8 of a pizza and Mary ate 1/4 of the same pizza, what fraction of the pizza was eaten in total?

• 3/4

• 5/8

• 2/8

• 1/2

Westford's zoo has two elephants. The male elephant weighs 33/5 tons and the female elephant weighs 14/5 tons. How much more does the male weigh than the female?

Gail made 7/8 quart of lemonade. Her sister drank 1/4 quart of the lemonade. How much lemonade is left?

• 1 quart

Oliver swam three - sevenths of a mile on Saturday and two - sevenths of a mile on Sunday. Which day did Oliver swim farther and by how much?

• Saturday, by 1/7 of a mile 

• Saturday, by 5/7 of a mile 

• Sunday, by 1/7 of a mile 

• Sunday, by 5/7 of a mile

Explain how to add fractions with unlike denominators.

• Find a common denominator, convert the fractions, and then add the numerators.

• Add the numerators and denominators directly.

• Multiply the fractions together.

• Subtract the smaller fraction from the larger one.

Answer explanation

To add fractions with unlike denominators, first find a common denominator. Then, convert each fraction to an equivalent fraction with this common denominator. Finally, add the numerators and keep the common denominator.

The process of adding with mixed numbers involves:

• Converting mixed numbers to improper fractions, adding them, and converting back to mixed numbers if necessary.

• Adding the whole numbers and fractions separately without any conversion.

• Converting mixed numbers to decimals and then adding them.

• Adding only the fractional parts and ignoring the whole numbers.

Answer explanation

The correct process for adding mixed numbers is to convert them to improper fractions, perform the addition, and then convert back to mixed numbers if needed. This ensures accuracy in the calculation.