47/7 added to 213/6 in Fraction Form

The result of 47/7 added to 213/6 is: 42 3/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 477 and 2136.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 7 and 6 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 477 to 28242
Convert 2136 to 149142

Step 4: Add the Numerators

Add the numerators: 282 + 1491 = 1773

Step 5: Simplify the Fraction

We can simplify 177342 to its lowest form.
The greatest common divisor (GCD) of 1773 and 42 is 3.
Dividing both numerator and denominator by the GCD, we get 59114.

Step 6: Convert to Mixed Number

The fraction 59114 can be written as the mixed number 42314.

Final Answer

The result of 47/7 added to 213/6 is:

477+2136=42314

Understanding Fraction Addition

How to Add Fractions

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

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (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

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