**Reducing fractions to lowest terms examples :**

To reduce fractions in lowest terms, we need to divide both numerator and denominator as much as possible.

For each and every time, we should divide both numerator and denominator using any one of the tables. That is we should not divide the numerator using one table and denominator using other table.

Yes, there is a trick to simplify fraction.

- If the numerator and denominator ends up with 0,2,4,6,8 . Then we can decide that the whole number is divisible by 2.

- If the numerator and denominators ends up with 0 or 5. Then we can decide the whole number is divisible by 5.

- If the sum of digits in the numerator and the sum of digits in the denominator is divisible by 3. Then we can decide the whole number will become divisible by 3.

- Like this for each table, we have different tricks. By learning the divisibility rules, we come to know that stuff.

**Problem 1 :**

Simplify 16/24 in simplest form

**Solution :**

In the given fraction the numerator ends up with 6 and the denominator ends up with 4. So we can simplify numerator and the denominator using 2 times table.

8 and 12 both are even numbers it can be divisible by 2.

again simplifying using 2 times table,we get

So the simplified form of the fraction 16/24 is 2/3.

**Problem 2 :**

Simplify 15/18 in simplest form

**Solution :**

The numerator ends up with 5, but the denominator ends up with 8. So it is not possible to simplify this fraction using 2 times table.

Now let us check whether it is divisible by 3 or not. The sum of digits in the numerator is 6 and the sum of digits in the denominator is 9.Both are divisible by 3. So let us simplify the above fraction using 3 times table.

So, the simplified form of the fraction 15/18 is 5/6.

**Problem 3 :**

Simplify 30/48 in simplest form

**Solution :**

The numerator ends up with 0 and the denominators ends up with 8.So we can simplify this using 2 times table initially.

After simplifying using 2 times table we get 15/24,now we are going to simplify this using 3 times table.

**So, we get 5/8.**

**Problem 4 :**

Simplify 12/40 in simplest form

**Solution :**

The numerator ends up with 2 and the denominators ends up with 0.So we can simplify this using 2 times table initially.

After simplifying using 2 times table we get 6/20,again we can simplify this using 2 times table.

So, we get 3/10.

**Problem 5 :**

Simplify 15/51 in simplest form

**Solution :**

The sum of the digits of the numerator is 6,which is divisible by 3 and the sum of the digits in the denominator is 6,so we can simplify this using 3 times table.

So, we get 5//17.

**Problem 6 :**

Simplify 14/49 in simplest form

**Solution :**

Since 14 and 49 are the multiples of 7, we can simplify the given fraction by 7 times table.

= 2/7

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