127/53 added to 31/4 in Fraction Form

The result of 127/53 added to 31/4 is: 10 31/212

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{2} 753$ and $\frac{3}{1} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 53 and 4 is 212.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{2} 753$ to $\frac{508}{2} 12$
Convert $\frac{3}{1} 4$ to $\frac{1643}{2} 12$

Step 4: Add the Numerators

Add the numerators: 508 + 1643 = 2151

Step 5: Convert to Mixed Number

The fraction $\frac{2}{1} 51212$ can be written as the mixed number $10 \frac{3}{1} 212$ .

Final Answer

The result of 127/53 added to 31/4 is:

\frac{127}{53} + \frac{31}{4} = 10 \frac{3}{1} 212

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (when denominators are different)

Or simply $\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}$ (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).

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