Fractions and Mixed Numbers Concepts

What is the main reason you cannot directly add the given fractions (1 5/6, 2 2/3, 1 5/12, 2 5/6) to find the total amount of soil needed?

• The fractions are too large.

• The denominators are not the same.

• Some are mixed numbers.

• The numerators are different.

What is the estimated total number of bags of soil needed if each mixed number is rounded to the nearest whole number?

• 7 bags

• 8 bags

• 9 bags

• 10 bags

What is the sum of 1 5/6 and 2 2/3?

• 3 7/9

• 4 1/6

• 3 9/6

• 4 3/6

What mathematical principle allows you to multiply both the numerator and the denominator of a fraction by the same number to get an equivalent fraction?

• The associative property of multiplication.

• The identity property of multiplication.

• The distributive property.

• The commutative property of multiplication.

Emily ate 3/8 of a pizza and Patrick ate 1/2 of a pizza. What fraction of the pizza did they eat altogether?

• 1/8

• 3/8

• 7/8

• 1/2

Emily and Patrick ate 7/8 of a pizza. What fraction of the pizza is left over?

• 1/8

• 3/8

• 7/8

• 1/2

Lola collected 5/6 pounds of peaches, Jed collected 10/12 pounds, and Lucy collected 3/4 pounds. How many pounds of peaches did they collect in total?

• 1 8/12 pounds

• 2 5/12 pounds

• 2 1/2 pounds

• 3 1/2 pounds

Lola, Jed, and Lucy need to collect 3 1/2 pounds of peaches. They have already collected 2 5/12 pounds. How many more pounds of peaches do they need to collect?

• 1 1/12 pounds

• 1 5/12 pounds

• 1/2 pound

• 2 1/12 pounds