Chapter 5- Fraction Homework - Good Friday Holiday

1) Express 2 sixths in the simplest form.

2/6

1/3

2/1

12

To express 2 sixths in the simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 2 and 6 in this case. The GCD of 2 and 6 is 2. By dividing both numerator and denominator by 2, we get 1/3, which is the simplest form of 2 sixths.

Explanation

To express 2 sixths in the simplest form, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 2 and 6 in this case. The GCD of 2 and 6 is 2. By dividing both numerator and denominator by 2, we get 1/3, which is the simplest form of 2 sixths.

2)
What fraction of the circles below are shaded in simplest form?

2/5

5/2

3/5

5/3

4 out of the 10 circles are shaded.

4/10 = 2/5

Explanation

4 out of the 10 circles are shaded.

4/10 = 2/5

3) What fraction of the circles below are shaded in simplest form?

1/5

2/5

4/5

1/4

2 out of the 10 circles are shaded.

2/10 = 1/5

Explanation

2 out of the 10 circles are shaded.

2/10 = 1/5

4) Jane spent 3/8 of her salary on a computer and 1/4 on two bags. What fraction of her salary had she left?

5/8

7/8

1/8

3/8

3/8 + 1/4 = 5/8
1 - 5/8 = 3/8

3/8 of her salary was left.

Explanation

3/8 + 1/4 = 5/8
1 - 5/8 = 3/8

3/8 of her salary was left.

5) Which of the following addition will give the greatest value?

1/2 + 1/3

1/3 + 1/4

1/5 +1/6

1/6+ 1/7

To determine which addition will give the greatest value, we need to find the common denominator for each pair of fractions. The common denominator for 1/2 and 1/3 is 6, so the addition becomes 3/6 + 2/6, which equals 5/6. The common denominator for 1/3 and 1/4 is 12, so the addition becomes 4/12 + 3/12, which equals 7/12. The common denominator for 1/5 and 1/6 is 30, so the addition becomes 6/30 + 5/30, which equals 11/30. The common denominator for 1/6 and 1/7 is 42, so the addition becomes 7/42 + 6/42, which equals 13/42. Therefore, the addition of 1/2 + 1/3 gives the greatest value, which is 5/6.

Explanation

To determine which addition will give the greatest value, we need to find the common denominator for each pair of fractions. The common denominator for 1/2 and 1/3 is 6, so the addition becomes 3/6 + 2/6, which equals 5/6. The common denominator for 1/3 and 1/4 is 12, so the addition becomes 4/12 + 3/12, which equals 7/12. The common denominator for 1/5 and 1/6 is 30, so the addition becomes 6/30 + 5/30, which equals 11/30. The common denominator for 1/6 and 1/7 is 42, so the addition becomes 7/42 + 6/42, which equals 13/42. Therefore, the addition of 1/2 + 1/3 gives the greatest value, which is 5/6.

6) There were 36 more men than women at a swimming pool. 1/4 of the people were women. How many men are there

9

12

18

54

2u - 36
1u - 36/2 = 18

Explanation

2u - 36
1u - 36/2 = 18

7) There are 4 similar circles.
What fraction of the circles is NOT shaded?

4/6

11/3

1/6

14/3

There are 4 circles altogether. But there are 3 unshaded circles and only 1 circle has 4/6 of it unshaded.

3 + 4/6 = 3 4/6
= 11/3 (improper fraction)

Explanation

There are 4 circles altogether. But there are 3 unshaded circles and only 1 circle has 4/6 of it unshaded.

3 + 4/6 = 3 4/6
= 11/3 (improper fraction)