10/157 added to 24/3 in Fraction Form

The result of 10/157 added to 24/3 is: 8 10/157

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10157 and 243.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 157 and 3 is 471.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10157 to 30471
Convert 243 to 3768471

Step 4: Add the Numerators

Add the numerators: 30 + 3768 = 3798

Step 5: Simplify the Fraction

We can simplify 3798471 to its lowest form.
The greatest common divisor (GCD) of 3798 and 471 is 3.
Dividing both numerator and denominator by the GCD, we get 1266157.

Step 6: Convert to Mixed Number

The fraction 1266157 can be written as the mixed number 810157.

Final Answer

The result of 10/157 added to 24/3 is:

10157+243=810157

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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