Simplifying Ratios and Identifying Fractions

This video tutorial covers simplifying ratios and converting between ratios and fractions. It begins with examples of simplifying ratios using common factors, including age and money scenarios. The tutorial then explains how to convert ratios to fractions and vice versa, using practical examples. Finally, it provides practice questions to reinforce the concepts learned.

What is the simplified ratio of 270 purple beads, 450 blue beads, and 180 red beads?

• 2:3:1

• 27:45:18

• 9:15:6

• 3:5:2

If a box contains 270 purple beads, 450 blue beads, and 180 red beads, what is the common factor used to simplify the ratio?

• 9

• 3

• 10

• 5

David is 44 years old and his son is 28 years younger. What is the simplified ratio of David's age to his son's age?

• 11:4

• 22:8

• 4:1

• 44:16

Emily has £3.60 and Claire has 75p. What is the simplified ratio of Emily's money to Claire's money?

• 360:75

• 72:15

• 48:10

• 24:5

A box contains blue, black, and white buttons in the ratio 2:3:8. What fraction of the buttons are black?

• 2/13

• 3/13

• 3/8

• 8/13

Brass is a mixture of copper and zinc, with one-third of the mixture being zinc. What is the ratio of copper to zinc?

• 2:1

• 1:2

• 3:1

• 1:3

A choir has 64 members, 40 of whom are men. What is the simplified ratio of women to men?

• 3:2

• 2:3

• 5:3

• 3:5

Convert £2.40 and 90p into a simplified ratio.

• 4:1

• 8:3

• 24:9

• 240:90

James has 1p, 2p, and 5p coins in the ratio 7:9:4. What fraction of the coins are 2p coins?

• 7/20

• 9/20

• 9/16

• 4/20

A floor is covered with black and white tiles, with two-fifths of the tiles being white. What is the ratio of white tiles to black tiles?

• 1:1

• 3:2

• 2:3

• 2:5