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 = 11/ ≅ 0.9166667Spelled result in words is eleven twelfths.
- Add: 1/ + 2/ = 1 · 3/ + 2 · 4/ = 3/ + 8/ = 3 + 8/ = 11/
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 plus two thirds is eleven 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:
- Change 8
Change this mixed number into an improper fraction of 2 1/9
- Convert 4
Convert 2 7/10 into an improper fraction.
Marry had 1 1/2 dozen eggs in the refrigerator. She used 1/3 of the eggs. What part of the eggs was used?
- Mixed to improper
Change the given mixed numbers to improper fraction: five-and-four-over-nine (5 4/9)
- Convert 5
Convert to a mixed number and simplify: 83/6
- Convert 7
Convert improper fraction to mixed fraction Question- 34/7
- 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.
- Mrs. Jones
Mrs. Jones bakes pies. She always cuts each pie into eight slices. There are 13 slices left on the counter. Write the number of pies on the counter as a mixed number.
- Decimal equivalent
Which mixed number is equivalent to 2.68? A:2 and 6 eighths B:2 and 68 tenths C:2 and 6 over 68
- X y/10
X y/10 is a fractional number that is greater than 6.895 but smaller than 7.8. If x and y are both single-digit natural numbers and x < y, then find the numbers.
Write the mixed number as an improper fraction: 166 2/3
- A science
A science experiment calls for making 3 and 2/3 cups of distilled water with 1 and 3/5 cups of vinegar and 2/3 cups of liquid detergent. How much liquid in all cups is needed?
- Dividing by negative mixed
Susan really wants to find 2 2/3÷-1 3/7. She writes the division as 2 2/3×-1 7/3. What is wrong with Amelia's reasoning?
- Estimate subtraction
What's the estimate of 3 1/3 - 1 5/6?
- Slices 3
A whole pizza is cut into eight equal pieces. How many slices can be cut from 6 1/2 similar pizza?
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