Adding Fractions
What do you need to find before you add unlike fractions?
Common Denominator!
Fraction
A fraction is a part of a whole.
Give an example of equivalent fractions
many accepted
1/2 and 2/4
1/3 and 2/6
etc.
List 2 ways you can compare fractions
Common denominators
modeling (virtual or physical)
using benchmarks
Common numerators
other
Which of these two numbers have a common denominator:
2/5, 2/10, 5/5, 5/11
2/5 and 5/5
1/5 + 1/5
2/5
Equivalent Fractions
Fractions that have the same value, but are expressed using different numbers
Find an equivalent fraction for 1/2
3/6, 2/4, 5/10, 50/100 and others
list 3 fractions greater than the benchmark of 1/2
anything >1/2
Bonus:
The fractions become 9/24 and 24/24
3/10 + 4/10
7/10
Common Denominator
Fractions with the same denominator. You might need to find equivalent fractions to match denominators.
Which of these are equivalent?
2/5, 6/10, 7/21, 8/20, 5/2
2/5 and 8/20
Which is greater? 3/5 or 1/2?
3/5>1/2
Find the common denominator for 1/4, 1/6, and 1/8
what is 16
1/2 + 1/4
3/4
Unlike Fractions
Unlike Fractions are fractions with different denominators. Different denominators makes unlike fractions difficult to compare.
List the 3 next equivalent fractions for 1/4
2/8, 3/12, 4/16
Create your own statement of inequality using a model
...
Find the common denominator for 1/7 and 2/14 then compare
the common denominator is 14.
1/7 becomes 2/14, so the numbers are equal.
List the steps to add 1/6 + 1/3
Find the LCD: 6
leave 1/6 the same
make 1/3 into 2/6
add Numerators
2/6+1/6 = 3/6
BONUS: simplify it to 1/2
Statements of inequality
Statements that compare two fractions or numbers using <, >, or =
Simplify 7/42
1/6
List these fractions from least to greatest: 2/5, 5/8, 1/3, 2/7
2/7, 1/3, 2/5, 5/8
Explain how you would find the common denominator
List the multiples of both denominators!
Find the LEAST common multiple!
Put the LCM as the new denominator!
multiply the numerators by the SAME number that you multiplied the denominators by.