Question

The shaded part of the diagram shows what Genie has left from a meter of string. She will use 3/5 meter of string she will have remaining after making the bracelets. For 7a-7c, Select true of false for each statement.

Answer 1

7a and 7b are true, 7c is false.

Explanation:

The image shows that she has 9/10 meters of the string available.

She wants to use 3/5 meters, so the part remaining is

`(9)/(10)-(3)/(5)=(45-30)/(50)=(15)/(50)=(3)/(10)`

Basically, the statement 7a is true, because with that difference we can find the string remaining. Also, with this results, we can say that 7c is false, becasue 1/5 meters is not the string remaining, it's 3/10.

Additionally, 7b is true, because 3/5 and 6/10 are actually equivalent factors, observe that if you multiply the first fraction by two, you'll get the second fraction.

Answer 2

1st - True.

Reason: The remaining shaded portion is
`(9)/(10)` and she will use
`(3)/(5)` of it, so remaining will be =

`(9)/(10)-(3)/(5)=(3)/(10)` parts

2nd - True.

The given fractions
`(3)/(5)` and
`(6)/(10)` are equal.

3rd - False

As calculated above in the 1st part, 3/10 parts will be left, so this question is false.