Fraction Calculator Live

Fraction Calculator is Quick and Easy. 

Enter Numerator and Denominator Values for Both Sides of the Equation. Select the Operator (+, -, ×, ÷)  

The values can be simple fractions, mixed fractions or improper fractions.

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Overview of Fractions:

A fraction names part of a region or part of a group. A fraction is the number of shaded parts divided by the number of equal parts. The numerator is the number above the fraction bar, and the denominator is the number below the fraction bar.

A proper fraction is a fraction in which the numerator is less than the denominator.  An improper fraction is a fraction in which the numerator is greater than or equal to the denominator.   A number can be classified as a proper fraction, an improper fraction, or as a mixed number. Any number divided by itself is equal to one. A mixed number consists of a whole-number part and a fractional part.

Equivalent fractions are different fractions that name the same number.  Equivalent fractions are different fractions that name the same number. The numerator and the denominator of a fraction must be multiplied by the same nonzero whole number in order to have equivalent fractions.

To simplify a fraction (reduce it to lowest terms), the numerator and the denominator must be divided by the same nonzero whole number. A fraction is in lowest terms when the greatest common factor (GCF) of its numerator and denominator is one.

When comparing two fractions with like denominators, the larger fraction is the one with the greater numerator.   To compare fractions with unlike denominators, use the LCD to write equivalent fractions with a common denominator; then compare the numerators.

You can convert an improper fraction greater than one to a mixed number through long division of its numerator and denominator.  Comparison of numerator and denominator: If the numerator <  denominator, then the fraction < 1.

To order fractions with like denominators, look at the numerators and compare them two at a time.  To order fractions with unlike denominators, use the LCD to write them as equivalent fractions with like denominators. Then compare two fractions at a time. It is helpful to write a number in a circle next to each fraction to compare them more easily. 

Fraction Lessons with Example Problems and Interactive Exercises:

Introduction to Fractions

Introduction, Classify Fractions, Equivalent Fractions, Simplify, Compare and Order. Convert Fractions to Mixed Numbers. Convert Mixed Numbers to Fractions. Math instruction is visual and conceptual.

Add and Subtract Fractions and Mixed Numbers

Add and subtract fractions with like and unlike denominators, LCD, add and subtract mixed numbers, solve real-world problems. These lessons use both visual and conceptual approaches.

Multiply and Divide Fractions and Mixed Numbers

Multiply fractions with and without cancelling, multiply mixed numbers, reciprocals, divide fractions, divide mixed numbers, solving real-world problems. Instruction is visual and conceptual.