154/118 added to 10/3 in Fraction Form

The result of 154/118 added to 10/3 is: 4 113/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 154118 and 103.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 3 is 354.

Step 3: Convert Fractions to Equivalent Fractions

Convert 154118 to 462354
Convert 103 to 1180354

Step 4: Add the Numerators

Add the numerators: 462 + 1180 = 1642

Step 5: Simplify the Fraction

We can simplify 1642354 to its lowest form.
The greatest common divisor (GCD) of 1642 and 354 is 2.
Dividing both numerator and denominator by the GCD, we get 821177.

Step 6: Convert to Mixed Number

The fraction 821177 can be written as the mixed number 4113177.

Final Answer

The result of 154/118 added to 10/3 is:

154118+103=4113177

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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