Mixed number calculator
This calculator performs basic and advanced operations with mixed numbers, fractions, integers, and decimals. Mixed numbers are also called mixed fractions. A mixed number is a whole number and a proper fraction combined, i.e. one and three-quarters. The calculator evaluates the expression or solves the equation with step-by-step calculation progress information. Solve problems with two or more mixed numbers fractions in one expression.
1/4 - 2/3 = -5/ ≅ -0.4166667Spelled result in words is minus five twelfths.
- Subtract: 1/ - 2/ = 1 · 3/ - 2 · 4/ = 3/ - 8/ = 3 - 8/ = -5/
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - one quarter minus two thirds is minus five twelfths.
What is a mixed number?A mixed number is an integer and fraction acb whose value equals the sum of that integer and fraction. For example, we write two and four-fifths as 254. Its value is 254=2+54=510+54=514. The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition: 254=2⋅ 54. A negative mixed number - the minus sign also applies to the fractional −254=−(254)=−(2+54)=−514. A mixed number is sometimes called a mixed fraction. Usually, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, one where the numerator is greater than the denominator.
How do I imagine a mixed number?We can imagine mixed numbers in the example of cakes. We have three cakes, and we have divided each into five parts. We thus obtained 3 * 5 = 15 pieces of cake. One piece when we ate, there were 14 pieces left, which is 254 of cake. When we eat two pieces, 253 of the cake remains.
Examples:• sum of two mixed numbers: 1 3/4 + 2 3/8
• addition of three mixed numbers: 1 3/8 + 6 11/13 + 5 7/8
• addition of two mixed numbers: 2 1/2 + 4 2/3
• subtracting two mixed numbers: 7 1/2 - 5 3/4
• multiplication of mixed numbers: 3 3/4 * 2 2/5
• comparing mixed numbers: 3 1/4 2 1/3
• changing improper fraction to mixed number: 9/4
• What is 3/4 as a mixed number: 3/4
• subtracting mixed number and fraction: 1 3/5 - 5/6
• sum mixed number and an improper fraction: 1 3/5 + 11/5
Mixed number in word problems:
- Peter's calculation
Peter wrote the following: 7 1/4 - 3 3/4 = 4 2/4 = 4 1/2 . Is Peter's calculation correct? Using words (math vocabulary) and numbers to explain why he is correct or incorrect.
- What is 28
What is the difference between seven and three-sixteenths minus four and nine-sixteenths? Write your answer in word form.
Mendy needs 3 1/2 cups of sugar to make a cake. She only has 1 5/8 cups. How many more cups of sugar does Mendy need?
- Subtract mixed
Find the difference. Five and two-thirds minus two and one-half equals what number? A. three and one-sixth B. three and two-thirds C. three and one-half D. three and five-sixths
- How much 3
How much more is 1⅝ than 4⅚?
- Zailene 2
Zailene has 8 2/3 cups of flour. She used 5 1/2 cups of flour. How many cups of flour were left to her?
- Estimate subtraction
What's the estimate of 3 1/3 - 1 5/6?
- Difference of mixed numbers
12 1/2 - 9 1/5. What is the difference?
Subtract two mixed numbers: 3 1/2 -1 3/4
- Operation 6
Perform the operation below. Express your answer as a mixed number in simplest form 4 1/6 - 2 2/3
- Miguel 2
Miguel had 5/6 of a pizza, and Chris had 1 and 5/8 of a similar pizza. How much more pizza did Chris have than Miguel?
- Difference mixed fractions
What is the difference between 4 2/3 and 3 1/6?
- Equation with mixed 2
A number, X, is subtracted from 8 1/4. The result is 12 3/5. What is the value of X?
- Mario 3
Mario renames the mixed numbers to fractions greater than 1 to find 4 and 1/2 - 2 and 2/3 . Which fractions should Mario use to find the difference?
- Sum of 20
The sum of the two numbers is 15 1/6. If one of the numbers is 2 2/3, find the other number.
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