11/7 added to 156/3 in Fraction Form

The result of 11/7 added to 156/3 is: 53 4/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 117 and 1563.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 3 is 21.

Step 3: Convert Fractions to Equivalent Fractions

Convert 117 to 3321
Convert 1563 to 109221

Step 4: Add the Numerators

Add the numerators: 33 + 1092 = 1125

Step 5: Simplify the Fraction

We can simplify 112521 to its lowest form.
The greatest common divisor (GCD) of 1125 and 21 is 3.
Dividing both numerator and denominator by the GCD, we get 3757.

Step 6: Convert to Mixed Number

The fraction 3757 can be written as the mixed number 5347.

Final Answer

The result of 11/7 added to 156/3 is:

117+1563=5347

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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