Fractions

Fraction calculator with step by step solutions for school math fractions.

This app is a simple fraction calculator that performs analytic calculations between math fractions. It has an elegant input system and gives analytic step by step solutions.

It is perfect for students and teachers that work with fractions and maths!

The fraction calculator supports:

1) All fraction operations (fraction multiplication, fraction division, fraction addition, fraction subtraction)

2) Fraction simplification

3) Mixed Numbers, Integer Numbers and Fractions

4) Step by step solution for all fraction computations

5) Any number of parentheses

6) The calculator shows the result as a fraction, or as a mixed number and it shows a decimal approximation.

7) Fraction to decimal calculator/converter

8) Decimal to fraction calculator/converter

You can use the fraction calculator either for directly evaluating a math expression with fractions and using the final result, or for studying the steps of calculations for math classes.

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A. How to input a fraction?

The calculator has three number fields. The leftmost one is used to enter the integer part of the fraction or to enter an operator (+, -, *, :), or a parenthesis. On the right side there are two more number fields. The one in the top right is used to enter the fraction's numerator, while the one in the bottom right is used to enter the fraction's denominator.

Thus if you want to enter the mixed fraction 5 1/2, you should press the number 5 on the left number field, then the number 1 on the right top number field and finally the number 2 on the right bottom number field.

B. How to compute an expression with fractions?

Just enter the required expression and then press the equals ("=") button of the calculator.

C. How to simplify a fraction?

Just enter the fraction and press the equals ("=") button of the calculator.

D. How to convert a mixed fraction to a simple fraction?

Just enter the mixed fraction and press the equals ("=") button of the calculator.

D. How to convert an improper fraction to a mixed fraction?

You should change the way the calculator shows the result of the computations. Press the gear (ont he top right of the application bar) and select how you want the app to show the result on the screen. If you choose "Mixed Fractions" then each expression you enter will be converted to a mixed fraction. For example if you enter the fraction 11/2 and then press the equals ("=") button, the calculator will show the mixed fraction 5 1/2 on the screen. You can go back to the original setting using the gear button and selecting "Simple Fractions".

E. How to convert a decimal number to a fraction.

Just enter the decimal number and press the equals ("=") button of the calculator.

F. How to convert a fraction to a decimal number.

Just enter the decimal number and press the equals ("=") button of the calculator. On top of the result the application shows the decimal approximation of the resulting fraction.

Fractions are mathematical expressions representing parts of a whole. They are written in the form a/b, where a is the numerator (the number of parts being considered) and b is the denominator (the total number of parts in the whole).

Simplifying Fractions

Fractions can be simplified by finding the greatest common factor (GCF) of the numerator and denominator and dividing both by the GCF. For example, the fraction 6/12 can be simplified to 1/2 by dividing both the numerator and denominator by 6, which is the GCF.

Equivalent Fractions

Fractions that represent the same value are called equivalent fractions. To find equivalent fractions, multiply or divide both the numerator and denominator by the same non-zero number. For example, 2/4 is equivalent to 1/2 because both fractions represent half of a whole.

Adding and Subtracting Fractions

To add or subtract fractions with the same denominator, simply add or subtract the numerators and keep the denominator. For example, 1/4 + 2/4 = 3/4.

To add or subtract fractions with different denominators, first find a common denominator. The common denominator is the least common multiple (LCM) of the denominators. For example, the LCM of 4 and 6 is 12, so to add 1/4 and 1/6, we convert them to 3/12 and 2/12, respectively, and then add: 3/12 + 2/12 = 5/12.

Multiplying and Dividing Fractions

To multiply fractions, multiply the numerators and denominators separately. For example, (1/2) x (2/3) = (1 x 2) / (2 x 3) = 2/6, which simplifies to 1/3.

To divide fractions, invert the second fraction and multiply. For example, (1/2) ÷ (1/4) = (1/2) x (4/1) = 4/2, which simplifies to 2.

Using Fractions in Real-World Situations

Fractions are used in a wide range of real-world applications, such as:

* Measuring ingredients in recipes

* Calculating discounts and percentages

* Determining the ratio of parts to a whole

* Solving geometry problems involving shapes with fractional dimensions

* Representing probability and likelihood