26/45 added to 170/4 in Fraction Form

The result of 26/45 added to 170/4 is: 43 7/90

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{6} 45$ and $\frac{1}{7} 04$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 45 and 4 is 180.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{6} 45$ to $\frac{104}{1} 80$
Convert $\frac{1}{7} 04$ to $\frac{7650}{1} 80$

Step 4: Add the Numerators

Add the numerators: 104 + 7650 = 7754

Step 5: Simplify the Fraction

We can simplify $\frac{7}{7} 54180$ to its lowest form.
The greatest common divisor (GCD) of 7754 and 180 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{8} 7790$ .

Step 6: Convert to Mixed Number

The fraction $\frac{3}{8} 7790$ can be written as the mixed number $43 \frac{7}{9} 0$ .

Final Answer

The result of 26/45 added to 170/4 is:

\frac{26}{45} + \frac{170}{4} = 43 \frac{7}{9} 0

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: