157/67 added to 6/3 in Fraction Form

The result of 157/67 added to 6/3 is: 4 23/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15767 and 63.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 67 and 3 is 201.

Step 3: Convert Fractions to Equivalent Fractions

Convert 15767 to 471201
Convert 63 to 402201

Step 4: Add the Numerators

Add the numerators: 471 + 402 = 873

Step 5: Simplify the Fraction

We can simplify 873201 to its lowest form.
The greatest common divisor (GCD) of 873 and 201 is 3.
Dividing both numerator and denominator by the GCD, we get 29167.

Step 6: Convert to Mixed Number

The fraction 29167 can be written as the mixed number 42367.

Final Answer

The result of 157/67 added to 6/3 is:

15767+63=42367

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).

Fraction Calculator

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