(11) calculate the following
½×⅚+⅓×¼
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Answers
Answer:
One Example of Adding 3 Fractions
Let's practice these steps to find out how far you have to ride your bike to get to your friend's house. We want to add 1/2 + 1/4 + 1/8. There are a couple of ways to go about adding three fractions:
The associative property states (a + b) + c = a + (b + c). This means that it doesn't matter which fractions we add together first. We can add any two of the fractions together and then add the result to the third fraction. Let's start by adding 1/2 and 1/4. First we need a common denominator. This will be the least common multiple of the denominators in the fractions. In our case, we want to find the least common multiple of 2 and 4:
Mutliples of 2 are: 2, 4, 6, 8, 10, and so on
Multiples of 4 are: 4, 8, 12, 16, and so on
Comparing the list, we see that 4 is the least common multiple of 2 and 4. Next, we need to make 4 the denominator of both fractions. We don't have to do anything to 1/4 since it already has this denominator. To make 4 the denominator of 1/2, we need to multiply both the numerator and denominator by 2, since 2 times 2 equals 4. When we do this, we find that 1/2 is equal to 2/4. Now, we're ready to add our fractions. Remember, to add two fractions with the same denominator, simply add the numerators: the denominator stays the same. When we add 2/4 and 1/4, we add 2 + 1 = 3 to find the numerator. Since the denominator is 4, we find that 2/4 + 1/4 = 3/4.
We're almost there! Now, we need to add our third fraction, 1/8, to the result. We want to find 3/4 + 1/8. Again, we have to first find a common denominator by determining the least common multiple of 4 and 8:
Answer:
1/2×5/6+1/3×1/4
=5/12+1/12
=6/12
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