21/154 added to 133/4 in Fraction Form

The result of 21/154 added to 133/4 is: 33 17/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21154 and 1334.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 154 and 4 is 308.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21154 to 42308
Convert 1334 to 10241308

Step 4: Add the Numerators

Add the numerators: 42 + 10241 = 10283

Step 5: Simplify the Fraction

We can simplify 10283308 to its lowest form.
The greatest common divisor (GCD) of 10283 and 308 is 7.
Dividing both numerator and denominator by the GCD, we get 146944.

Step 6: Convert to Mixed Number

The fraction 146944 can be written as the mixed number 331744.

Final Answer

The result of 21/154 added to 133/4 is:

21154+1334=331744

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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