Calculator Decimals and Mixed Numbers

This calculator performs basic and advanced operations with decimals, real numbers, and integers. It also shows detailed step-by-step information about the calculation procedures. Solve problems with two, three, or more decimals in one expression. Add, subtract and multiply decimals step-by-step. This calculator can add, subtract, multiply, and divide positive or negative decimals. This online decimals calculator will help you understand adding, subtracting, multiplying, or dividing decimals.

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order are:

• PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
  
• BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
  
• BODMAS: Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction.
  
• GEMDAS: Grouping symbols (brackets: (){}), Exponents, Multiplication, Division, Addition, Subtraction.
  
• MDAS: Multiplication and Division (same precedence), Addition and Subtraction (same precedence). MDAS is a subset of PEMDAS.

Important Notes:
1. Multiplication/Division vs. Addition/Subtraction: Always perform multiplication and division *before* addition and subtraction.
2. Left-to-Right Rule: Operators with the same precedence (e.g., + and -, or * and /) must be evaluated from left to right.

Decimals in word problems:

• Ted spent
  Ted spent $20.75 on lunch and $56.23 on gas. If he started with $100, how much does he have now?
• Tourist route longest
  On the first day, tourists covered 3/14 of the planned route, on the second day 1/3 of the route, and on the third day 8/21 of the route. On which day did they walk the longest part of the route (1,2,3)?
• The temperature 48
  The temperature in the town is 36.6 °F during the day and -12.6 °F at night. What is the temperature change from day to night?
• Same distance
  What decimal is the same distance from 7.1 and 7.4?
• The sum 29
  The sum of the two numbers is 35.407. If one number is 21.7043, find the other number.
• Suzi starts
  Suzi starts her hike at 225 feet below sea level. When she reaches the end of the hike, she is still below sea level at −105 feet. What was the change in elevation from the beginning of Suzi's hike to the end?
• Maria 4
  Maria earns $15.25 per hour babysitting and $16.50 per hour cleaning the house. Last weekend, she spent 3 hours babysitting and 2 hours cleaning the house. Then, she went to the shop and spent $27.69. How much money does Maria have left?

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