48/213 added to 53/4 in Fraction Form

The result of 48/213 added to 53/4 is: 13 135/284

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 48213 and 534.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 4 is 852.

Step 3: Convert Fractions to Equivalent Fractions

Convert 48213 to 192852
Convert 534 to 11289852

Step 4: Add the Numerators

Add the numerators: 192 + 11289 = 11481

Step 5: Simplify the Fraction

We can simplify 11481852 to its lowest form.
The greatest common divisor (GCD) of 11481 and 852 is 3.
Dividing both numerator and denominator by the GCD, we get 3827284.

Step 6: Convert to Mixed Number

The fraction 3827284 can be written as the mixed number 13135284.

Final Answer

The result of 48/213 added to 53/4 is:

48213+534=13135284

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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