Transcript Comparing and Ordering Fractions

Comparing and Ordering
Fractions
Comparing - Step 1
• If the denominators are the same, then the
fraction with the larger numerator is greater.
• 3/5 is greater than 2/5
Comparing - Step 1
• If the numerators are the same, then the
fraction with the lower denominator is greater.
1/8 is greater than 1/12
1/8
1/12
Comparing - Step 2
• If the denominators and numerators are different,
than a common denominator should be found.
Comparing - Step 2
• If the denominators and numerators are different,
than a common denominator should be found.
Comparing - Step 2
• If the denominators and numerators are different,
than a common denominator should be found.
An easy way to do this is to multiply the denominators by
each other to find a common denominator.
x2
x5
Comparing - Step 2
• If the denominators and numerators are different,
than a common denominator should be found.
An easy way to do this is to multiply the denominators by each other to
find a common denominator.
x2
x5
Comparing - Step 3
• Since a common denominator was found by
multiplying the denominators by a number, the
same number must be multiplied to the numerator
The golden rule of fractions = whatever you do to
the top, you do to the bottom.
x2
x2
4
x5
x5
5
Compare - Final Step
• Compare the new numerators and you will
find the greater fraction.
4
<
5
Ordering - Step 1
• To order fractions, you must compare the
fractions first.
– Find a common denominator if needed
– If more than 3 fractions are being compared:
• find a common multiple of all 3,or
• multiply all three numbers together
– Multiply each numerator by the number you
multiplied it by in the denominator.
Ordering - Step 1
• To order fractions, you must compare the
fractions first.
3 x 3 = 9 Middle
3 2 5
4; 3; 6
4
2
3
5
6
x 3 = 12
x4= 8
x 4 = 12
x 2 = 10
x 2 = 12
Least
Greatest
Ordering - Step 2
• Place fractions in order as needed (least to greatest
or greatest to least)
2 3 5
3; 4; 6
Least to greatest order
3
4
2
3
5
6
x3= 9
x 3 = 12
x4= 8
x 4 = 12
x 2 = 10
x 2 = 12
Middle
Least
Greatest