complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. 7NS.2d Convert a rational number to a decimal using long division; know that t...
4.2 Convert Fractions to Repeating Decimals Common Core Standards 7.RP.1. Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. 7NS.2d Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
WARM-UP Convert the fractions to decimals. 1)
1 10
1 4) 4
2) 9
1 2
3) 7 3
5
1 5) 8
Convert Fractions to Repeating Decimals What do we call decimals that repeat forever?
.222222...
.7
.16161616...
NOTES Repeating decimals repeat forever and we can show that with three dots. Concept Check Identify the repeating decimal.
.222...
.2222
5.1616...
5.161616
NOTES To make it easier to write repeating decimals write the repeating digit(s) once and draw a bar over it.
.33333... = .3
.16666... = .16
Concept Check Write the repeating decimals in shortened form.
.222...
5.8333...
Nineteen point one repeating
NOTES To convert any fraction to a decimal you can just divide the top by the bottom. Examples Convert the fractions to decimals.
1 3
1 6
4 9
EXAMPLES Convert the fractions to decimals.
5 6
6 5
EXAMPLES Convert the fraction to a decimal.
2 7 3
Convert the mixed number to a decimal.
0
1
?
2
NOTES When a fraction is in simplest form, it is the denominator that determines if it is terminating or repeating.
x x x x x Terminating: , , , Repeating: , 2 4 5 8 10 Examples Is the fraction terminating or repeating?