Math Lesson 48 MIxed Numbers and Improper Fractions
Write each improper fraction as a mixed number in simplest form. 1) 17/5 2) 10/4 3) 27/12 4) 9/4
1) 17/5 = 3 2/5 2) 10/4 = 2 2/4 = 2 1/2 3) 27/12 = 2 1/4 4) 9/4 = 2 1/4
Write each mixed number as an improper fraction. 1) 3 5/6 2) 1 2/9 3) 4 3/5 4) 7 1/7
1) 3 5/6 = 23/6 2) 1 2/9 = 11/9 3) 4 3/5 = 23/5 4) 7 1/7 = 50/7
Warm Up Write each fraction in its simplest form. 1. 9/27 2. 20/64 3. Explain how to write 35 minutes as a fraction of an hour.
1.) 9/27 = 9 ÷ 3 1 -- = --- 27 ÷ 3 3 2.) 20/64 = 20 ÷ 2 10 ÷ 2 5 --- = --- = --- 64 ÷ 2 32 ÷ 2 16 3.) 35 min ÷ 5 7 ------------ = ---- 60 min ÷ 5 12
Find a number between 9/8 and 10/8. Write your answer as an improper fraction and as a mixed number.
19/16 and 1 3/16
Write 6 2/3 as an improper fraction.
2 20 6 --- = --- 3 3
Use division to write an improper fraction as a mixed number.
32/6 ---- 32÷6 --- 32÷6 --- R 2 ----5 2/6 ----5 1/3
Writing Fractions
A "proper fraction" has a numerator that is less than its denominator. An "improper fraction" has a numerator that is greater than or equal to its denominator. A "mixed number" shows the sum of a whole number and a proper fraction.
mixed number
A number made up of a whole number that is not zero and a fraction. Example: 7/5 (improper fraction) = 1 2/5 (mixed number) 2 1/2; 1 3/8; 1 1/5
1 3/8 in.
Find the length of the segment. Write the mixed number in simplest form. a. 1 1/8 in b. 1 7/16 in c. 1 1/2 in d. 1 3/8 in
improper fraction
Has a numerator that is greater than or equal to its denominator. Example: 7/5 (improper fraction) = 1 2/5 (mixed number) 5/2; 11/8; 5/5
proper fraction
Has a numerator that is less than the denominator. Example: 99/100 1/2 ; 3/8; 4/5
How do you write a mixed number as an improper fraction?
You have to multiply the denominator and the whole number then you add the numerator and that's your numerator. Then the denominator stays the same. So if you had 1 and 3/4 you would multiply the 1 and the 4 and then add 3 so that would be 7 and the bottom number (denominator) would stay 4 so your answer is 4/7.
Write in simplest form. 5/35 a. 1/7 b. 5/7 c. 5/35 d. 1/35
a. 1/7
A truck's engine needs 3 1/4 gallons of oil for an oil change. How many quarts of oil are needed? (Hint: 1 quart = 1/4 gallon) a. 13 quarts b. 17 quarts c. 4 quarts d. 52 quarts
a. 13 quarts
Write 4 1/3 as an improper fraction. a. 13/3 b. 11/3 c. 9/3 d. 14/3
a. 13/3
Sarah is making her own Halloween costume. The costume requires 3 3/4 yards of materials. Write the number of yards needed for Sarah's Halloween costume as an improper fraction. a. 15/4 yds b. 9 yds c. 9/8 yds d. 9/4 yds
a. 15/4 yds
Write 2 and 4 ninths as an improper fraction and as a mixed number. a. 22/9; 2 4/9 b. 22/9; 4 2/9 c. 38/9; 4 2/9 d. 18/9; 2 4/9
a. 22/9; 2 4/9
Compare the fraction. Write <,>, or =. 1/3 4/7 a. < b. > c. =
a. <
Write 2 5/6 as an improper fraction. a. 16/6 b. 17/6 c. 32/6 d. 12/6
b. 17/6
A truck's engine needs 1 1/4 gallons of oil for an oil change. How many quarts of oil are needed? (Hint: 1 quart = 1/4 gallon) a. 2 quarts b. 5 quarts c. 25 quarts d. 9 quarts
b. 5 quarts
Compare the fraction. Write <,>, or =. 1/2 6/8 a. = b. < c. >
b. <
27/6 a. 5 1/2 b. 3 5/6 c. 4 1/2 d. 3 1/2
c. 4 1/2
Write 17/3 as a mixed number. a. 3 2/3 b. 3 3/5 c. 5 2/3 d. 5 3/5
c. 5 2/3
Write 4 3/7 as an improper fraction. a. 28/7 b. 21/4 c. 25/3 d. 31/7
d. 31/7
Write 4 and 5 eighths as an improper fraction and as a mixed number. a. 32/8; 4 5/8 b. 37/8; 5 4/8 c. 44/8; 5 4/8 d. 37/8; 4 5/8
d. 37/8; 4 5/8
Write the improper fraction as a mixed number in simplest form. 59/7 a. 7 3/7 b. 9 3/7 c. 8 2/7 d. 8 3/7
d. 8 3/7
Write the improper fraction as a mixed number in simplest form. 73/8 a. 6 1/7 b. 8 1/7 c. 2 1/8 d. 9 1/8
d. 9 1/8
5/5
improper fraction
8/3
improper fraction
has a numerator that is greater than or equal to its denominator
improper fraction
3 2/3
mixed number
shows the sum of a whole number and a proper fraction
mixed number
has a numerator that is less than its denominator
proper fraction
