the odometer on jordan’s car read 23,273 miles when he left on a trip and 23,650 miles when he...
TRANSCRIPT
Bell RingerThe odometer on Jordan’s car read 23,273 miles
when he left on a trip and 23,650 miles when he returned. Jordan drove his car 6.5 hours on the trip. Based on the odometer readings, what was his average driving speed on the trip, in miles per hour?
A. 53B. 58C. 60D. 65E. 67
23,650 – 23,273 = 377 miles ÷ 6.5 hours = 58 mph
Fractions, Decimals, and Percents
Converting and Ordering
Factors
A number that divides evenly into another number.
Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24.
What are the factors of 12? 1, 2, 3, 4, 6, 12
Common Factor♦ When two numbers have the same factor it
is called a common factor.♦ What are the factors of 12?
1, 2, 3, 4, 6, 12♦ What are the factors of 18?
1, 2, 3, 6, 9, 18♦ The common factors are 1, 2, 3, and 6.♦ The greatest common factor is 6!
Common Factors
What are the common factors of 6 and 9?6 = 1, 2, 3, 6 9 = 1, 3, 9The common factor is 3, so the GCF = 3
What are the common factors of 20 and 16?20 = 1, 2, 4, 5, 10, 20 16 = 1, 2, 4, 8, 16The common factors are 2 & 4, so the
GCF = 4
Simplest Form
When the only common factor of the numerator and denominator is 1, the fraction is in simplest form.
34
34
÷ 11 =
How to Find the Simplest Form of a Fraction
Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number.
1218
23÷ 6
6 =
Convert a Fraction to a Decimal
Divide the numerator by the denominator!
3 4
= 3 ÷ 4 = 0.75
8 10
= 8 ÷ 10 = 0.8
Divide the top number by the bottom number!!!
Convert a Decimal to a Percent
Move the decimal point 2 places to the right and add a percent (%) sign. If you need to, add a zero on the back to get the second decimal place.
.546 = 54.6%
.4 = 40%3.56 = 356%
Convert a Percent to a Decimal
Move the decimal point 2 places to the left. If you need to, put a zero on the front.
24% = .2415.36% = .1536256% = 2.562% = .02
Convert a Decimal to a FractionConvert the decimal to fraction using tenths,
hundredths, thousandths, etc. depending on the number of decimal places. Simplify.
.18 = =
.4 = =
18100
950
410
25
Ordering
The easiest way to order fractions, decimals, and percents is to convert them to the same type of number.
Change all percents and fractions to decimals!
Order from Least to Greatest!
.85, 23%, ⅗, .35, 57.5%, ⅔ Change them to decimals!.85, .23, .60, .35, .575, .66 Order them!.23, .35, .575, .60, .66, .85
Handy Dandy Chart
Keep this handy dandy chart that I will graciously give you!
Chart.docx