67/77 added to 22/4 in Fraction Form

The result of 67/77 added to 22/4 is: 6 57/154

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6777 and 224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 77 and 4 is 308.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6777 to 268308
Convert 224 to 1694308

Step 4: Add the Numerators

Add the numerators: 268 + 1694 = 1962

Step 5: Simplify the Fraction

We can simplify 1962308 to its lowest form.
The greatest common divisor (GCD) of 1962 and 308 is 2.
Dividing both numerator and denominator by the GCD, we get 981154.

Step 6: Convert to Mixed Number

The fraction 981154 can be written as the mixed number 657154.

Final Answer

The result of 67/77 added to 22/4 is:

6777+224=657154

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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