Line up the ones digit for the numbers.
Compare the place value for each digit starting from the left. When you find the
first difference, the number with the largest digit is the largest number.
Line up the ones digit for the numbers. Add zeros if necessary to give both
numbers the same number of decimal places.
Compare the place value for each digit starting from the left. When you find the
first difference, the number with the largest digit is the largest number.
3458.320
3458.318
The ones digits are lined up and there are the same number of decimal places.
Starting from the left, the first difference is in the tenths column.
When the denominators are the same, then the proper/improper fraction with
the largest numerator is the largest fraction
6/5 > 5/5
5/5 > 4/5
4/5 > 3/5
3/5 > 2/5
2/5 > 1/5
When the numerators are the same, then the proper/improper fraction with
the smallest denominator is the largest fraction.
9/7 > 9/8
9/8 > 9/9
9/9 > 9/10
9/10 > 9/11
9/11> 9/12
When proper/improper fractions have different numerators and denominators,
they can be converted to equivalent fractions with the same denominators.
1/2 = 3/6 1/3 = 2/6
Since 3/6 > 2/6, 1/2 > 1/3
When proper/improper fractions have different numerators and denominators,
the decimal equivalent of each can be calculated by dividing the numerator by the
denominator.
1/2 = 0.5 3/4 = 0.75
Since 0.75 > 0.5, then 3/4 > 1/2
Proper/improper fractions can be compared
using cross products. Start by review equal fractions.
a/b = c/d (equal fractions)
ad = bc (cross products are equal)
If the fractions are not equal then there are two possiblities.
If ad > bc, then a/b > c/d
If ad < bc, then a/b < c/d
If you are going to use this rule make sure the first fraction is a/b.
When the whole numbers are different, you will not need to compare the
fractions.
13 5/6 and 14 4/5
Line up the ones digit for the whole numbers.
Compare the place value for each digit starting from the left. When you find the
first difference, the number with the largest digit is the largest number.
13 5/6
14 4/5
The ones digits are lined up. Starting from the left, the first difference is in
the tens column.
Since 4 > 3, then 14 4/5 > 13 5/6
When the whole numbers are the same, then the mixed number with the
largest fraction has the greatest value. Use the same rules as you did in:
Line up the ones digit for the numbers.
Compare the place value for each digit starting from the left. When you find the
first difference, the number with the largest digit is the largest number.
3458
3472
The ones digits are lined up. Starting from the left, the first difference is in
the tens column.
