83/40 added to 151/4 in Fraction Form

The result of 83/40 added to 151/4 is: 39 33/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{8}{3} 40$ and $\frac{1}{5} 14$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 40 and 4 is 40.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{8}{3} 40$ to $\frac{83}{4} 0$
Convert $\frac{1}{5} 14$ to $\frac{1510}{4} 0$

Step 4: Add the Numerators

Add the numerators: 83 + 1510 = 1593

Step 5: Convert to Mixed Number

The fraction $\frac{1}{5} 9340$ can be written as the mixed number $39 \frac{3}{3} 40$ .

Final Answer

The result of 83/40 added to 151/4 is:

\frac{83}{40} + \frac{151}{4} = 39 \frac{3}{3} 40

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: