Equivalent fractions using multiplication
Write an equivalent fraction for 1/2 by multiplying numerator and denominator by 2.
2/4
Reduce 6/8 to simplest form by dividing numerator and denominator by a common factor.
3/4
Which is greater: 5/8 or 3/8? Explain in one sentence.
5/8; When the denominator is the same, then look at the numerator, and you can see 5 is greater than 3.
Which is greater: 1/2 or 1/3? Explain
1/2 is greater because the larger the denominator, the smaller the piece.
Which is closer to 1/2: 2/5 or 4/8
4/8 because 4/8=1/2
Find two equivalent fractions for 2/3.
4/6, 6/9, 8/12
Simplify 9/12 to lowest terms. Which factor did you divide by?
3/4. You divide by 3 (common factor)
Order from least to greatest: 2/7, 6/7, 4/7.
2/7, 4/7, 6/7
Which is greater: 3/4 or 2/3? Use multiplication to solve.
3/4 is larger
3/4= 9/12 > 2/3 =8/12
Compare fractions 6/4 and 4/6 using 1 as a benchmark. Explain.
6/4> 4/4
4/6 < 6/6
so 6/4 is greater than 4/6
What equivalent fraction do you get when you multiply numerator and denominator of 3/4 by 5?
15/20
20/12 can be simplified. What are the 2 equivalent fractions?
10/6 and 5/3
True or false: 9/10>7/10? Explain why.
True, 9/10 is closer to one then 7/10.
Which is greater: 24/40 or 20/30?
24/40
Without finding common denominators, is 3/8 less than, equal to, or greater than 1/4? Use benchmark reasoning.
3/8 > 1/4 because 3/8 is closest to 1/2 while 1/4 is close to 0.
Which number can you multiply numerator and denominator of 7/8 by to get a denominator of 32? What is the equivalent fraction?
28/32
Simplify 18/24 step-by-step, showing division by the greatest common factor.
3/4 (divide by 6/6)
Which is larger: 11/12 or 10/12? How many more twelfths is the larger one?
11/12 is larger by 1/12
Compare and use >, <, or = : 5/6 6/7. Show how you found a common denominator to compare.
5/6 X 7/7= 35/42 < 6/7 X 6/6 = 36/42
Use 1/2 as a benchmark to compare 5/9 and 4/9. Which is closer to 1/2 and why?
5/9 is greater than 4/9. Even though they are equal distance from 1/2, 5/9 is greater than 1/2.
A fraction is equivalent to 4/9. Its denominator is 36. By what number were numerator and denominator multiplied? What is the new numerator?
Multiplied by 4 and the new numerator is 16.
A fraction 55/60 should be written in simplest form. Show the division you used and the final reduced fraction.
11/12
How do you compare fractions with like denominators?
If your denominators are the same, you just need to look at the numerators.
compare 11/15 and 3/5
11/15 is greater because 3/5 becomes 9/15 which is still smaller than 11/15.
How do you use benchmark fractions to help compare fractions?
You can use 0, 1/2, or 1 to help figure out which fraction is greater by comparing each one to the benchmark and then compare to each other.