Question

WILL MARK BRAINLIST! I'm doing fractions and decimals for homework

13) Jocelyn works out some divisions on her calculator and gets these answers

0.333333333

0.8333333333

2.1666666667

0.666666667

0.1428571429

1.6666666667

a) Why does a 7 appear at the end of three of the decimals?

b) Match each decimal to one of these fractions

1/7 1/3 5/3 2/3 5/6 13/6

Answer 1

Answer:

a

.6666666 has been rounded up to .6666667

b

0.3333333 = 1/3

0.8333333 = 5/6

2.1666667 = 13/6

0.6666667 = 2/3

0.1428571429 = 1/7

1.6666667 = 5/3

Step-by-step explanation:

a

7 appears at the end of 3 of the decimals because it has been rounded up from 6.66666 recurring.

b

I will go through how to convert one decimal to a fraction:

0.833333333 = x

8.333333333 = 10x

83.33333333 = 100x

100x - 10x = 75

90x = 75

x = 75/90 = 5/6