Question

1/2+1/3 solve it and 3/7-3/8

Answer 1

Find the Least Common Denominator (LCD) of \frac{1}{2}, \frac{1}{3}
​2
​
​1
​​ ,
​3
​
​1
​​
Method 1: By Listing Multiples
List out all multiples of each denominator, and find the first common one.
Multiples of 2 : 2, 4, 6, ...
Multiples of 3 : 3, 6, ...
Therefore, the LCD is 66.
Method 2: By Prime Factors
Since 2,32,3 are prime numbers themselves, we simply multiply them to get the LCD.
Therefore, the LCD is 2\times 3=62×3=6.
LCD = 66

2 Make the denominators the same as the LCD
\frac{1\times 3}{2\times 3}+\frac{1\times 2}{3\times 2}
​2×3
​
​1×3
​​ +
​3×2
​
​1×2
​​

3 Simplify. Denominators are now the same
\frac{3}{6}+\frac{2}{6}
​6
​
​3
​​ +
​6
​
​2
​​

4 Join the denominators
\frac{3+2}{6}
​6
​
​3+2
​​

5 Simplify
\frac{5}{6}
​6
​
​5
​​

Done
Decimal Form: 0.833333




What is 3/7 - 3/8?
What is 3/7 - 3/8?
Here's how to subtract 3/8 from 3/7:

3
7
−
3
8
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 8, and get 24.

Then we multiply 3 by 7, and get 21.

Next we give both terms new denominators -- 7 × 8 = 56.

So now our fractions look like this:

24
56
−
21
56
Step 2
Since our denominators match, we can subtract the numerators.

24 − 21 = 3

So the answer is:

3
56


Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

No good. 5 is larger than 3. So we're done reducing.

There you have it! The final answer is:
3
7
−
3
8
=
3
56
In decimal form
0.05357142857

Hope this helps. You