Decimal Calculator
Perform arithmetic on decimal numbers with clear step-by-step explanations. This calculator adds, subtracts, multiplies, or divides any two decimals and converts the result to a fraction.
Working with decimals follows the same rules as whole-number arithmetic, but you need to keep track of the decimal point.
Adding and Subtracting Decimals:
Line up the decimal points vertically, then add or subtract column by column from right to left. Pad with trailing zeros if the numbers have different decimal lengths.
Example: 3.75 + 1.8 = 3.75 + 1.80 = 5.55
Multiplying Decimals:
Multiply as if they were whole numbers, then count the total number of decimal places in both factors. Place the decimal point that many places from the right in the product.
Example: 2.5 x 1.4 -- multiply 25 x 14 = 350, then place the decimal 2 places from the right to get 3.50.
Dividing Decimals:
Move the decimal in the divisor to make it a whole number, then move the dividend's decimal the same number of places. Divide normally.
Example: 7.5 ÷ 2.5 -- shift both by 1 place to get 75 ÷ 25 = 3.
Converting to Fractions:
Any terminating decimal can be written as a fraction by using the place value as the denominator. 0.75 = 75/100 = 3/4. This calculator simplifies the fraction automatically.