49/42 added to 83/4 in Fraction Form

The result of 49/42 added to 83/4 is: 21 11/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4942 and 834.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 42 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4942 to 9884
Convert 834 to 174384

Step 4: Add the Numerators

Add the numerators: 98 + 1743 = 1841

Step 5: Simplify the Fraction

We can simplify 184184 to its lowest form.
The greatest common divisor (GCD) of 1841 and 84 is 7.
Dividing both numerator and denominator by the GCD, we get 26312.

Step 6: Convert to Mixed Number

The fraction 26312 can be written as the mixed number 211112.

Final Answer

The result of 49/42 added to 83/4 is:

4942+834=211112

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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