41/19 added to 7/4 in Fraction Form

The result of 41/19 added to 7/4 is: 3 69/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4119 and 74.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4119 to 16476
Convert 74 to 13376

Step 4: Add the Numerators

Add the numerators: 164 + 133 = 297

Step 5: Convert to Mixed Number

The fraction 29776 can be written as the mixed number 36976.

Final Answer

The result of 41/19 added to 7/4 is:

4119+74=36976

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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