On the webpage Simplifying Fractions Tricks we are going to see how to simplify a fraction in a easy way.

Simplifying fractions means reducing the numerator and denominator as much as possible same numbers.

We have to divide the numerator and denominator by the same number at a time.

We have two methods to simplify a fraction.

By using this method we can easily simplify any large fractions. Ladder method can be done using the below steps.

**Step 1:**

**Write the numerator and denominator in single line and draw the L shape.**

**Step 2:**

**Divide them by common factors as much as possible. If two numbers are not divisible by any common number then we have to leave it as it is.**

**Step 3:**

**The pair of numbers which is at the last step is the simplified form of the given original fraction.**

**Problem 1:**

Simplify 42/60 in simplest form

**Solution:**

Step 1:

Write the two numbers on one line

Step 2:

Draw the L shape

Step 3 :

Divide out common prime numbers starting from the smallest.

7 and 10 is not divisible by any common number.

7/10 is the simplified form of the given fraction 42/60.

Now let us see the next example of the topic "simplifying fractions tricks".

**Problem 2:**

Simplify 14/24 in simplest form

**Solution:**

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**Problem 3:**

Simplify 36/42 in simplest form

**Solution:**

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**Problem 4:**

Simplify 104/156 in simplest form

**Solution:**

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**Problem 5:**

Simplify 45/225 in simplest form

**Solution:**

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**Problem 6:**

Simplify 54/153 in simplest form

**Solution:**

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**Problem 7:**

Simplify 27/54 in simplest form

**Solution:**

Now let us see the next example of the topic "simplifying fractions".

**Problem 8:**

Simplify 27/54 in simplest form

**Solution:**

**Problem 9:**

Simplify 21/27 in simplest form

**Solution:**

**Problem 10:**

Simplify 27/54 in simplest form

**Solution:**

- 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.

**Problem 1:**

Simplify 16/24 in simplest form

**Solution:**

In the above the fraction the numerator ends up with 6 and the denominator ends up with 4.So we can simply 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.

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