117/112 added to 53/4 in Fraction Form

The result of 117/112 added to 53/4 is: 14 33/112

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{1} 7112$ and $\frac{5}{3} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 4 is 112.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{1} 7112$ to $\frac{117}{1} 12$
Convert $\frac{5}{3} 4$ to $\frac{1484}{1} 12$

Step 4: Add the Numerators

Add the numerators: 117 + 1484 = 1601

Step 5: Convert to Mixed Number

The fraction $\frac{1}{6} 01112$ can be written as the mixed number $14 \frac{3}{3} 112$ .

Final Answer

The result of 117/112 added to 53/4 is:

\frac{117}{112} + \frac{53}{4} = 14 \frac{3}{3} 112

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).

Fraction Calculator

Calculate operations between any two fractions: