21/141 added to 154/4 in Fraction Form

The result of 21/141 added to 154/4 is: 38 61/94

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21141 and 1544.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 141 and 4 is 564.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21141 to 84564
Convert 1544 to 21714564

Step 4: Add the Numerators

Add the numerators: 84 + 21714 = 21798

Step 5: Simplify the Fraction

We can simplify 21798564 to its lowest form.
The greatest common divisor (GCD) of 21798 and 564 is 6.
Dividing both numerator and denominator by the GCD, we get 363394.

Step 6: Convert to Mixed Number

The fraction 363394 can be written as the mixed number 386194.

Final Answer

The result of 21/141 added to 154/4 is:

21141+1544=386194

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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