10/74 added to 211/4 in Fraction Form

The result of 10/74 added to 211/4 is: 52 131/148

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1074 and 2114.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1074 to 20148
Convert 2114 to 7807148

Step 4: Add the Numerators

Add the numerators: 20 + 7807 = 7827

Step 5: Convert to Mixed Number

The fraction 7827148 can be written as the mixed number 52131148.

Final Answer

The result of 10/74 added to 211/4 is:

1074+2114=52131148

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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