Question

7/8 - 5/6 with explanation

Answer 1

Answer:

Here's how to subtract 5/6 from 7/8:

7

8

−  

5

6

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 6, and get 42.

Then we multiply 5 by 8, and get 40.

Next we give both terms new denominators -- 8 × 6 = 48.

So now our fractions look like this:

42

48

−  

40

48

Step 2

Since our denominators match, we can subtract the numerators.

42 − 40 = 2

So the answer is:

2

48

 

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...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2

48

÷ 2 =  

1

24

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:

7

8

−  

5

6

=  

1

24

 

Answer 2

Answer:

$=> \frac{1}{24}$

Step-by-step explanation:

Given that:-

$\frac{7}{8}-\frac{5}{6}$

As we have to solve the expression,

For that first, we have to find the LCM:

$=> \frac{(7 \cdot 3)}{(8 \cdot 3)}+\frac{(-5 \cdot 4)}{(6 \cdot 4)}$

By simplifying it further, we get

$=> \frac{(7 \cdot 3)}{24}+\frac{(-5 \cdot 4)}{24}$

Multiply the numbers in the numerator,

$=> \frac{21}{24}+\frac{-20}{24}$

Combine the fractions:

$=> \frac{(21+-20)}{24}$

Add the terms in the numerator, we get

$=> \frac{1}{24}$

Hence, the required solution is $\frac{1}{24}$.