Fraction to Decimal
Decimal to Fraction
Order from Least to Greatest
Order from Greatest to Least
Problem Solving
100
How do you change a fraction to a decimal?
divide the numerator by the denominator?
100
How do you change a decimal to a fraction?
Write the decimal part of the number over the place value of the last digit.
100
4/11, 2/11, 8/11
2/11, 4/11, 8/11
100
5/7, 5/6, 5/12
5/6, 5/7, 5/12
100
After the Honolulu Marathon in 2009, volunteers collected and recycled 3.75 tons of trash. How can you write 3.75 as a mixed number in simplest form?
3.75 = 3 3/4
200
Write 7/9 as a decimal and tell whether it repeats or terminates
0.7, repeats
200
Write 0.52 as a fraction in simplest form.
13/25
200
0.08, 1/20, 0.06
1/20, 0.06, 0.08
200
6 1/20, 6.1, 6.07
6.1, 6.07, 6 1/20
200
Four students took an exam. The fraction of the total possible points that each received is given. Which student had the highest score? a. Lily, 17/20 b. Nikki, 4/5 c. Sydney, 3/4 d. Monica, 22/25
d. Monica, 22/25
300
Write 4 13/20 as a decimal and tell whether it repeats or terminates
4.65, terminates
300
How do you know if a fraction is in simplest form?
The numerator and the denominator have only 1 as a common factor.
300
0.95, 3/10, 1/4, 0.45
1/4, 3/10, 0.45, 0.95
300
0.2, 0.19, 3/5
3/5, 0.2, 0.19
300
Calvin has a recipe that calls for 3/8 pound of cheddar cheese. The packages he sees in the grocery store show the weights in decimal amounts. Which amount of cheese should Calvin buy? a. 0.3 (repeating) pound b. 0.35 pound c. 0.375 pound d. 2.6 (repeating) pound
c. 0.375 pound
400
NO CALCULATOR! 1/11= 0.09 (repeating) 2/11 = 0.18 (repeating) 3/11 = 0.27 (repeating) What is 4/11 as a decimal? Explain the pattern?
4/11 = 0.36 (repeating). The decimal keeps increasing as a multiple of 9.
400
Write 0.02 as a fraction in simplest form.
1/50
400
Which number would come before 1.2 on a number line? a. 1 1/10 b. 1.25 c. 1 4/5 d. none of the above Explain your reasoning
1 1/10 because 1 1/10 = 1.1 and 1.1 is less than 1.2
400
2 1/2, 2.4,2.35, 2 1/8
2 1/2, 2.4, 2.35, 2 1/8
400
Anne ran 7.8 miles, Jim ran 7 1/8 miles and Nancy ran 7 8/9 miles. Order the runners from who ran the greatest to least.
Nancy, Anne, Jim
500
1/9=0.1(repeating) 1/99 = 0.01 (repeating) 1/999= 0.001 (repeating) What do you think is the repeating decimal for 1/9,999? Explain the pattern.
1/9,999=0.0001 (repeating). You keep adding a zero before the 1.
500
Write 6.025 as a fraction in simplest form.
6 1/40
500
1/2, 2/5, 7/15
2/5, 7/15, 1/2
500
Which number would come after 8/10 on a number line? a. 0.25 b. 0.3 c. 0.45 d. 0.95 Explain your answer.
0.95 because 8/10 = 0.8 and 0.95 is greater than 0.8
500
Franzi swam the 100 meter free stroke in 47.8 seconds. Sarah swam it in 47 2/9 seconds and Kealy swam it in 47 3/5 seconds. Order the swimmers from fastest to slowest.
Sarah, Kealy, Franzi