please help solved the following fraction

11 13/15 + 3 7/12 =

14 3/4 + 7 + 5 7/8 =

Thanks,

Hannah

First find the common denominator and change the fractions to equivalent fractions.

11 13/15 = 11 52/60
3 7/12 = 3 35/60

Then add.

11 52/60 + 3 35/60 = 14 87/60 = 15 27/60 = 15 9/20

Now you can try the second problem. I'll be glad to check your work.

Hannah,

For the first problem with the first mixed number, you would multiply 11 and 15 and add 13. So it would be 178/15 because you still use the demominator. Then you mulitply 3 and 12 and add 7. So that would be 43/12.

So the question is 178/15 + 43/12=

Can you solve it from there?

The next one would be 59/4 + 47/8=

Find the common demominators and then solve.

Hello Ms. Sue,

How did you get 15 27/60 please?

Thanks,

Hannah

14 87/60 = 15 27/60

Divide 87 by 60 to get 1 27/60.

Add that to 14 to get 15 27/60

I am sorry, can u show your division please. when i divide 87 for 60 i get 1.45. Please help!

Divide using long division.

and how do i do that please

Study this site.

http://www.mathsisfun.com/long_division2.html

that website is great we go on it at school

Sure, I'd be happy to help you solve these fractions!

Let's start with the first one:

11 13/15 + 3 7/12

To solve mixed number fractions like these, we need to convert them into improper fractions.

To convert the first mixed number, 11 13/15, into an improper fraction, we multiply the whole number (11) by the denominator (15) and then add the numerator (13). This gives us:

11 * 15 + 13 = 143

So, 11 13/15 as an improper fraction is 143/15.

Next, let's do the same for the second mixed number, 3 7/12:

3 * 12 + 7 = 43

Therefore, 3 7/12 as an improper fraction is 43/12.

Now that we have both fractions as improper fractions, we can add them together:

143/15 + 43/12

To add fractions, we need to have a common denominator. The common denominator here is 60, which is the least common multiple of 15 and 12.

To convert the fraction 143/15 into an equivalent fraction with a denominator of 60, we multiply both the numerator and denominator by 4:

(143 * 4) / (15 * 4) = 572/60

To convert the fraction 43/12 into an equivalent fraction with a denominator of 60, we multiply both the numerator and denominator by 5:

(43 * 5) / (12 * 5) = 215/60

Now that both fractions have a common denominator of 60, we can add them together:

572/60 + 215/60 = (572 + 215) / 60 = 787/60

However, we should simplify the fraction if possible. To simplify, we can divide both the numerator and denominator by their greatest common divisor, which is 1 in this case.

So, the final result is:

787/60

Now, let's move on to the second fraction:

14 3/4 + 7 + 5 7/8

Let's first convert the mixed numbers into improper fractions.

14 3/4 as an improper fraction is (14 * 4 + 3) / 4 = 59/4.

5 7/8 as an improper fraction is (5 * 8 + 7) / 8 = 47/8.

Now we can add the fractions together:

(59/4) + 7 + (47/8)

To add fractions, we need to have a common denominator. The common denominator here is 8.

So, we convert 59/4 into 476/32 (multiplying both the numerator and denominator by 8), and 47/8 remains the same.

Now we can add the fractions:

476/32 + 7 + 47/8

To combine fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 32 and 8 is 32.

To convert 47/8 into an equivalent fraction with a denominator of 32, we multiply both the numerator and denominator by 4:

(47 * 4) / (8 * 4) = 188/32

Now that both fractions have a common denominator of 32, we can add them together:

476/32 + 224/32 + 188/32 = (476 + 224 + 188) / 32 = 888/32

Finally, we can simplify the fraction if possible. The greatest common divisor of 888 and 32 is 8, so we can divide both the numerator and denominator by 8:

888/32 simplifies to 111/4.

Therefore, the final result is:

111/4

I hope this helps! Let me know if you have any further questions.