ADAM WANTS TO COMPARE THE FRACTIONS 3/12,1/6,AND1/3.HE WANTS TO ORDER THEM FROM LEAST TO GREATEST AND REWRITE THEM SO THEY ALL HAVE THE SAME DENOMINATOR?EXPLAIN HOW ADAM CAN REWRITE THE FRACTIONS?If anyone could helpme explain this to my 4 th grader.i am really bad with fractions
a 4th grader?
compare the fractions. All can be written as 12ths.
3/12; 2/12 (which is 1/6); and 4/12 (which is 1/3).
now put them in order...
2/12, 3/12, 4/ 12
First, you find the least common multiple for 3,6, and 12. Then, you put the 12 as the denominator and divide by the original fractions 3/12, 1/6, and 1/3.
Enter the pair of fractions as a pair of fractions with the smallest common denominator between the two fractions.
1
2
and
2
5
The pair of fractions with a common denominator are
Certainly! I would be happy to explain how your 4th grader can rewrite the fractions and compare them.
To rewrite fractions so they all have the same denominator, Adam will need to find a common denominator for the fractions 3/12, 1/6, and 1/3. The denominator is the bottom number of a fraction, and the common denominator is the same for all the fractions.
Here's how Adam can find a common denominator:
Step 1: Look for the least common multiple (LCM) of the denominators.
The denominators in this case are 12, 6, and 3. The LCM of these numbers is 12.
Step 2: Rewrite the fractions with the common denominator.
Adam can do this by multiplying the numerator and denominator of each fraction so they all have a denominator of 12.
Let's do this for each fraction:
1) 3/12: To get the denominator to 12, Adam needs to multiply both the numerator and denominator by 1. So, 3/12 becomes (3 * 1)/(12 * 1) = 3/12
2) 1/6: To get the denominator to 12, Adam needs to multiply both the numerator and denominator by 2. So, 1/6 becomes (1 * 2)/(6 * 2) = 2/12
3) 1/3: To get the denominator to 12, Adam needs to multiply both the numerator and denominator by 4. So, 1/3 becomes (1 * 4)/(3 * 4) = 4/12
Now that Adam has rewritten the fractions with a common denominator of 12, he can compare them.
Step 3: Order the fractions from least to greatest.
Adam can compare the numerators (the top numbers) of the fractions since they all have the same denominator now:
2/12 < 3/12 < 4/12
So, the fractions 1/6, 3/12, and 1/3 can be ordered from least to greatest as 1/6, 3/12, 1/3.
I hope this explanation helps your 4th grader understand how to rewrite fractions with a common denominator and compare them!