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4 years ago

How do you add fractions

Mathematics

2 answers:

Wittaler [7]4 years ago

7 0

First, you find the common denominator, if the denominators are the same, great! Then, you add the numerators.

Elina [12.6K]4 years ago

6 0

Example fraction we are adding: 3/5 + 1/2

In order to add fractions you first need to make sure both fractions have the same denominator. If they don't have the same denominator like our example fraction doesn't, we need to convert them.

The least common denominator of 5 and 2 is 10 so we multiply both sides of the fraction 3/5 by its counterpart 2 and both sides of the fraction 1/2 by its counterpart 5. This gives us 6/10 + 5/10.

Notice counterpart does not always mean the denominator of the other fraction, it means the number that multiplied by the current denominator of your fraction will give you the least common denominator of both fractions.

Now we can easily add 6/10 + 5/10 to get 11/10.

(I copied my answer from my answer for another question that asked the same thing)

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3 years ago

Find the least common denominator for these fractions. Enter your answer in<br> the space provided.

julsineya [31]

Answer:

5/12

Step-by-step explanation:

1/4 and 1/6 are fractions.

As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.

The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.

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Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.

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2 years ago

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Answer:

0.6892 = 68.92% of bottles are within specification.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

On average, each bottle contains 2.07 liters of soda, with a standard deviation of 0.06 liters.

This means that $\mu = 2.07, \sigma = 0.06$