Fraction and Rate Problems

This lesson covers dividing fractions using various methods such as tape diagrams, pattern blocks, and rulers. It also includes writing equations for division and multiplication, comparing unit rates for better deals, and understanding ratios in recipes. The lesson aims to provide a comprehensive understanding of division in different contexts.

What does the blue section in the tape diagram represent?

• One-fourth

• One-third

• One-half

• One-sixth

How many times does one-third fit into one-half according to the tape diagram?

• One time

• One and a half times

• Two and a half times

• Two times

In the pattern blocks, what fraction does the blue figure represent?

• One-third

• One-half

• One-sixth

• One-fourth

How many times does the blue shape fit inside the red shape in the pattern blocks?

• Two times

• One time

• Two and a half times

• One and a half times

How many halves are there in seven inches?

• Ten

• Twelve

• Seven

• Fourteen

How many sections of three-eighths are in six?

• Fourteen

• Sixteen

• Twelve

• Eighteen

How many sections of five-sixteenths are in one and seven-eighths?

• Seven

• Five

• Eight

• Six

How many two-fifths are in one and a half according to the tape diagram?

• Two and a half

• Three

• Four

• Three and three-fourths

What multiplication equation represents twelve fourths in three?

• 12 x 1/2 = 6

• 12 x 1/4 = 3

• 12 x 1/5 = 2

• 12 x 1/3 = 4

What division equation represents two divided by one half?

• 2 ÷ 1/5 = 10

• 2 ÷ 1/2 = 4

• 2 ÷ 1/3 = 6

• 2 ÷ 1/4 = 8