10/77 added to 12/3 in Fraction Form

The result of 10/77 added to 12/3 is: 4 10/77

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1077 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 77 and 3 is 231.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1077 to 30231
Convert 123 to 924231

Step 4: Add the Numerators

Add the numerators: 30 + 924 = 954

Step 5: Simplify the Fraction

We can simplify 954231 to its lowest form.
The greatest common divisor (GCD) of 954 and 231 is 3.
Dividing both numerator and denominator by the GCD, we get 31877.

Step 6: Convert to Mixed Number

The fraction 31877 can be written as the mixed number 41077.

Final Answer

The result of 10/77 added to 12/3 is:

1077+123=41077

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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