32/112 added to 15/3 in Fraction Form

The result of 32/112 added to 15/3 is: 5 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 32112 and 153.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 3 is 336.

Step 3: Convert Fractions to Equivalent Fractions

Convert 32112 to 96336
Convert 153 to 1680336

Step 4: Add the Numerators

Add the numerators: 96 + 1680 = 1776

Step 5: Simplify the Fraction

We can simplify 1776336 to its lowest form.
The greatest common divisor (GCD) of 1776 and 336 is 48.
Dividing both numerator and denominator by the GCD, we get 377.

Step 6: Convert to Mixed Number

The fraction 377 can be written as the mixed number 527.

Final Answer

The result of 32/112 added to 15/3 is:

32112+153=527

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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