27/10 added to 6/2 in Fraction Form

The result of 27/10 added to 6/2 is: 5 7/10

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac2710\) and \(\frac62\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 2 is 10.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac2710\) to \(\frac{27}10\)
Convert \(\frac62\) to \(\frac{30}10\)

Step 4: Add the Numerators

Add the numerators: 27 + 30 = 57

Step 5: Convert to Mixed Number

The fraction \(\frac5710\) can be written as the mixed number \(5\frac710\).

Final Answer

The result of 27/10 added to 6/2 is:

\[ \frac{27}{10} + \frac{6}{2} = 5\frac710 \]

Understanding Fraction Addition

How to Add Fractions

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

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (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: