21/154 added to 67/3 in Fraction Form

The result of 21/154 added to 67/3 is: 22 31/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21154 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 21154 to 63462
Convert 673 to 10318462

Step 4: Add the Numerators

Add the numerators: 63 + 10318 = 10381

Step 5: Simplify the Fraction

We can simplify 10381462 to its lowest form.
The greatest common divisor (GCD) of 10381 and 462 is 7.
Dividing both numerator and denominator by the GCD, we get 148366.

Step 6: Convert to Mixed Number

The fraction 148366 can be written as the mixed number 223166.

Final Answer

The result of 21/154 added to 67/3 is:

21154+673=223166

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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