7/9+5/12 please someone tell it's answer it's fractions. class-7
Answers
Answer:
13/36
Step-by-step explanation:
Here's how to subtract 5/12 from 7/9:
7
9
−
5
12
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 7 by 12, and get 84.
Then we multiply 5 by 9, and get 45.
Next we give both terms new denominators -- 9 × 12 = 108.
So now our fractions look like this:
84
108
−
45
108
Step 2
Since our denominators match, we can subtract the numerators.
84 − 45 = 39
So the answer is:
39
108
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...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
39
108
÷ 3 =
13
36
Let's try dividing by 3 again...
Nope! So now we try the next greatest prime number, 5,7,11,13,17.
No good. 17 is larger than 13. So we're done reducing.
There you have it! The final answer is:
7
9
−
5
12
=
13/36
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Answer:
43/36
Step-by-step explanation:
Given :
7/9 + 5/12
LCM of 9,12 = 3 * 3 * 2 * 2 = 36
Adjust fractions based on LCM.
⇒ (7 * 4/9 * 4) + (5 * 3/12 * 3)
⇒ (28/36) + (15/36)
⇒ (28 + 15)/36
⇒ 43/36
(or)
1 (7/36)
Hope it helps!