10/152 added to 101/3 in Fraction Form

The result of 10/152 added to 101/3 is: 33 167/228

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10152 and 1013.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 152 and 3 is 456.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10152 to 30456
Convert 1013 to 15352456

Step 4: Add the Numerators

Add the numerators: 30 + 15352 = 15382

Step 5: Simplify the Fraction

We can simplify 15382456 to its lowest form.
The greatest common divisor (GCD) of 15382 and 456 is 2.
Dividing both numerator and denominator by the GCD, we get 7691228.

Step 6: Convert to Mixed Number

The fraction 7691228 can be written as the mixed number 33167228.

Final Answer

The result of 10/152 added to 101/3 is:

10152+1013=33167228

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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