find equivalent fractions with a common denominator and order from least to greatest 3/42,5/6,7/21?
-2.2
4/5 3/4 5/6 7/12
uhm
To find the equivalent fractions with a common denominator and order them from least to greatest, follow these steps:
Step 1: Find the common denominator.
To find the common denominator, you need to find the least common multiple (LCM) of the denominators. In this case, the denominators are 42, 6, and 21.
The multiples of 42: 42, 84, 126, 168, 210, 252, 294...
The multiples of 6: 6, 12, 18, 24, 30, 36, 42...
The multiples of 21: 21, 42, 63, 84, 105, 126...
From the lists, you can see that 42 is the least common multiple because it appears in the multiples of all three denominators.
Step 2: Convert the fractions to have a common denominator.
To convert the fractions, multiply the numerator and denominator of each fraction by the appropriate factor so that they all have the same denominator of 42.
3/42 = (3 * 1) / (42 * 1) = 3/42
5/6 = (5 * 7) / (6 * 7) = 35/42
7/21 = (7 * 2) / (21 * 2) = 14/42
The equivalent fractions with a common denominator of 42 are: 3/42, 35/42, 14/42.
Step 3: Order the fractions from least to greatest.
To order the fractions from least to greatest, compare the numerators:
3/42 < 35/42 < 14/42
So, the equivalent fractions arranged in order from least to greatest are: 3/42, 14/42, 35/42.
The common denominator is 42.
What are the equivalent fractions for 5/6 and 7/21?