Fraction and Decimals Study Guide

Name: ________________________________
Fraction and Decimals Study Guide – Part 2
 I can… add and subtract proper fractions with denominators
through 12 and with a denominator of 100.
 I can…find the value of an unknown in equations involving fractions.
 I can…multiply fractions by whole numbers.
 I can...read, write, interpret and compare decimals fractions up to
two decimal places.
 I can…relate decimal fractions to money.
 I can…write halves, fourths, tenths and hundredths in decimal and
fraction forms.
 I can… locate tenths and hundredths on a number line.
 I can…add and subtract decimal fractions through hundredths.
 I can…multiply and divide decimals up to two decimal places by a onedigit whole number.
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1
Add and subtract proper fractions
Name: ________________________________
Jacob opened a gallon of water. He poured 1/2 of the gallon in his fish tank.
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2
Then he poured 1/8 of a gallon in his goldfish bowl. How much is left?
Name: ________________________________
Jacob, Andrew, Brent, Joshua, and Eric love pizza! One afternoon after
their hockey game they decide to go to the South Lyon Hotel to order pizza.
However, none of them can agree on a topping, so they each order their own
small pizza with their chosen topping. Each small pizza was the same size.
Here is what each girl ate of their pizza:
 Jacob:
four-sixths of his mushroom pizza
 Andrew:
two-thirds of his pepperoni pizza
 Brent:
one-fourth of his green pepper pizza
 Joshua:
one-half of his onion pizza
 Eric:
one-third of his sausage pizza
1. Who ate the most pizza? ________________________________
2. How much did they eat altogether? _______________________
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3
Show your work and explain your answer.
Name: ________________________________
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4
Find the unknown in equations
Name: ________________________________
Multiply fractions by whole numbers
Increase the following recipe to serve 24 people. (Multiply the ingredients
by______)
Yummy Cupcakes (serves 12)
1 cup flour ________________________
2/3 cup sugar __________________
1/8 tsp. salt ________________________
2 eggs __________________________
1/2 tsp. baking soda __________________
1/3 cup milk ____________________
1/4 cup margarine __________________
1/4 tsp. vanilla extract ____________
Read, write and compare decimal fractions.
What is a decimal fraction? Explain and give an example.
My number: _______________________________________________
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in the tenths place.
5
Create a number. Your number must begin in the thousands place and end
Name: ________________________________
Look at the following number:
2,347,238.97
Please answer the following:
What digit is in the hundreds place? ________________
What digit is in the tenths place? ___________________
What digit is in the millions place? __________________
What digit is in the hundredths place? ______________
Please write the following numbers in standard notation:
Five hundred thirty-nine and nineteen hundredths:
_____________________
Nine thousand, four hundred five and eighty-seven hundredths:
_______________
Six and six hundredths: ________________
Thirty-five and five tenths: ____________________
Fourteen hundredths: _____________________
Please write the following numbers in word form:
7,513.29
_________________________________________________________
55.4
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6
_____________________________________________________
Name: ________________________________
Fill in the missing number:
Four hundred twenty and sixteen hundredths: 4__0. __6
Fifteen thousand three hundred eighty-one and three tenths: 15, ___ 81. __
Ninety-five and twenty-eight hundredths: __5.2___
Please compare the following numbers and answer the questions.
Which decimal has the least value? ________
74.5
74.51
74.53
74.499
Which decimal has the greatest value? ________
35.0
35.01
35.10
35.02
Relate decimals to money
I bought a gallon of milk for $3.20 and 2 pounds of cheese at $4.99 a pound.
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7
How much money did I spend?
Name: ________________________________
Halves, fourths, tenths, and hundredths in decimal and fraction forms.
Color the following decimals. Remember the decimal fraction must be in the
hundredths when using a 100 grid before you can color. Name the equivalent
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Color
8
fraction.
Name: ________________________________
the following fractions. Remember the fraction must be in the hundredths
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9
when using a 100 grid before you can color. Name the equivalent decimal.
Name: ________________________________
What part of this bar is shaded? Please give both the fraction form
_______ and the decimal fraction form. ____________
Write the decimal equivalents for the following:
¾
____________________
One half __________________
One fourth ______________
Number lines
Locate the following fractions and decimal fractions on the number line.
Place the corresponding letter of the alphabet on the number line in the
correct location.
10
1/2
7/4
0.75
1.25
One and one half
8/4
Page
A
B
C
D
E
F
Name: ________________________________
Name the following points on the inch ruler (Remember, an inch ruler is cut
into eighths). Name them in fraction form and decimal form.
Fraction
Decimal Fraction
A
B
C
D
Estimate the location of the following fractions on the number line. Place the
corresponding letter of the alphabet on the number line. Think about
whether or not they are “greater than” ½ or “less than” ½.
11
3/5
3/4
Page
A
B
Name: ________________________________
Add and Subtract Decimals.
Allie and her classmates placed colored blocks on a scale during a science
lab. The red block weighed 1.09 pounds and the blue block weighed 0.31
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12
pounds. How much more did the red block weigh than the blue block?
Name: ________________________________
It rained 3.3 inches on Monday. On Tuesday, it rained 2.5 inches. How much
more did it rain on Monday than Tuesday?
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13
Multiple and Divide Decimals
Name: ________________________________
Peanut production in the U.S. averages about 1.2 million tons per year. How
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14
much is the average peanut production per month?