mera painted equal sections of her bedroom wall to make a pattern. she painted 2/7 of the wall white and1/2 of the wall lavender.write an.equivalent fraction.for each using a common denominator. please help answer. thx
4/14 and 7/14. What happened to the other 3/14?
To find equivalent fractions with a common denominator, you first need to find the least common denominator (LCD). In this case, the LCD can be found by finding the least common multiple (LCM) of the denominators, which are 7 and 2.
To find the LCM of 7 and 2, you can list the multiples of each number and find the least common multiple:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...
The least common multiple (LCM) of 7 and 2 is 14. Therefore, the common denominator is 14.
Now, let's convert the fractions to equivalent fractions with a denominator of 14:
For 2/7:
To convert 7 to 14, we need to multiply the numerator and denominator by 2:
2/7 * 2/2 = 4/14
For 1/2:
To convert 2 to 14, we need to multiply the numerator and denominator by 7:
1/2 * 7/7 = 7/14
Therefore, the equivalent fractions are:
2/7 is equivalent to 4/14
1/2 is equivalent to 7/14