24/210 added to 53/4 in Fraction Form

The result of 24/210 added to 53/4 is: 13 51/140

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 24210 and 534.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 4 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 24210 to 48420
Convert 534 to 5565420

Step 4: Add the Numerators

Add the numerators: 48 + 5565 = 5613

Step 5: Simplify the Fraction

We can simplify 5613420 to its lowest form.
The greatest common divisor (GCD) of 5613 and 420 is 3.
Dividing both numerator and denominator by the GCD, we get 1871140.

Step 6: Convert to Mixed Number

The fraction 1871140 can be written as the mixed number 1351140.

Final Answer

The result of 24/210 added to 53/4 is:

24210+534=1351140

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).

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