10/154 added to 67/3 in Fraction Form

The result of 10/154 added to 67/3 is: 22 92/231

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10154 and 673.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 3 is 462.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10154 to 30462
Convert 673 to 10318462

Step 4: Add the Numerators

Add the numerators: 30 + 10318 = 10348

Step 5: Simplify the Fraction

We can simplify 10348462 to its lowest form.
The greatest common divisor (GCD) of 10348 and 462 is 2.
Dividing both numerator and denominator by the GCD, we get 5174231.

Step 6: Convert to Mixed Number

The fraction 5174231 can be written as the mixed number 2292231.

Final Answer

The result of 10/154 added to 67/3 is:

10154+673=2292231

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

Calculate operations between any two fractions: