what order are these fractions from least to greatest
1/7,1/9,2/7,1/12
2 5/6,9/8,3 1/8,3 1/9
5/9,10/3,2 1/4,3/2
11/2,4 1/2,1/100,5 1/4
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To order fractions from least to greatest, you need to find a common denominator for all the fractions. Then, compare the numerators.
Let's start with the first set of fractions: 1/7, 1/9, 2/7, 1/12.
1/7, 1/9, 2/7, 1/12
Step 1: Find the common denominator:
To find the common denominator, you need to factor the denominators and take the least common multiple (LCM) of those factors.
Denominators: 7, 9, 7, 12
Prime factors: 7, 9, 2^2 * 3
LCM: 2^2 * 3 * 7 * 9 = 252
Step 2: Convert the fractions to have the common denominator:
Multiply the numerator and denominator of each fraction by the appropriate value to make the denominator equal to 252.
1/7 * 36/36 = 36/252
1/9 * 28/28 = 28/252
2/7 * 36/36 = 72/252
1/12 * 21/21 = 21/252
Step 3: Compare the numerators to order the fractions.
The order from least to greatest is: 21/252, 28/252, 36/252, 72/252.
So, the first set of fractions from least to greatest is: 1/12, 1/9, 1/7, 2/7.
Now let's move on to the second set of fractions: 2 5/6, 9/8, 3 1/8, 3 1/9.
2 5/6, 9/8, 3 1/8, 3 1/9
Step 1: Convert mixed numbers to improper fractions:
2 5/6 = (2 * 6 + 5) / 6 = 17/6
3 1/8 = (3 * 8 + 1) / 8 = 25/8
3 1/9 = (3 * 9 + 1) / 9 = 28/9
Step 2: Compare the fractions to order them.
The order from least to greatest is: 17/6, 9/8, 25/8, 28/9.
So, the second set of fractions from least to greatest is: 17/6, 9/8, 25/8, 28/9.
Moving on to the third set of fractions: 5/9, 10/3, 2 1/4, 3/2.
5/9, 10/3, 2 1/4, 3/2
Step 1: Convert mixed numbers to improper fractions:
2 1/4 = (2 * 4 + 1) / 4 = 9/4
Step 2: Compare the fractions to order them.
The order from least to greatest is: 5/9, 9/4, 3/2, 10/3.
So, the third set of fractions from least to greatest is: 5/9, 9/4, 3/2, 10/3.
Finally, let's look at the last set of fractions: 11/2, 4 1/2, 1/100, 5 1/4.
11/2, 4 1/2, 1/100, 5 1/4
Step 1: Convert mixed numbers to improper fractions:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
5 1/4 = (5 * 4 + 1) / 4 = 21/4
Step 2: Compare the fractions to order them.
The order from least to greatest is: 1/100, 11/2, 9/2, 21/4.
So, the last set of fractions from least to greatest is: 1/100, 11/2, 9/2, 21/4.
You need to either convert these fractions to decimals or to fractions with a common denominator.
1/7 = 0.143
1/9 = 0.111
2/7 = 0.286
1/12 = 0.083
In google type:
calculatorsoup calculators fractionsorder
When you see list of results click on:
Ordering Fraction Calculator-Calculator Soup
When page be open in rectangle type you are fractions separated wit comma and click option:
Calculate
You will see answers with explanation.