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.
The result:
30 - 8 3/4 - 3 1/2 = 71/4 = 17 3/4 = 17.75
Spelled result in words is seventeen and three quarters (or seventy-one quarters).Calculation steps
- Conversion a mixed number 8 3/4 to a improper fraction: 8 3/4 = 8 3/4 = 8 · 4 + 3/4 = 32 + 3/4 = 35/4
To find a new numerator:
a) Multiply the whole number 8 by the denominator 4. Whole number 8 equally 8 * 4/4 = 32/4
b) Add the answer from the previous step 32 to the numerator 3. New numerator is 32 + 3 = 35
c) Write a previous answer (new numerator 35) over the denominator 4.
Eight and three quarters is thirty-five quarters. - Subtract: 30 - 35/4 = 30/1 - 35/4 = 30 · 4/1 · 4 - 35/4 = 120/4 - 35/4 = 120 - 35/4 = 85/4
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(1, 4) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 4 = 4. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirty minus thirty-five quarters is eighty-five quarters. - Conversion a mixed number 3 1/2 to a improper fraction: 3 1/2 = 3 1/2 = 3 · 2 + 1/2 = 6 + 1/2 = 7/2
To find a new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/2 = 6/2
b) Add the answer from the previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs. - Subtract: the result of step No. 2 - 7/2 = 85/4 - 7/2 = 85/4 - 7 · 2/2 · 2 = 85/4 - 14/4 = 85 - 14/4 = 71/4
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, 2) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 2 = 8. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eighty-five quarters minus seven halfs is seventy-one quarters.
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. - Estimate subtraction
What's the estimate of 3 1/3 - 1 5/6? - How much 3
How much more is 1⅝ than 4⅚? - Subtract
Subtract two mixed numbers: 3 1/2 -1 3/4
- 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 - Operation 6
Perform the operation below. Express your answer as a mixed number in simplest form 4 1/6 - 2 2/3 - Difference of mixed numbers
12 1/2 - 9 1/5. What is the difference? - What is 28
What is the difference between seven and three-sixteenths minus four and nine-sixteenths? Write your answer in word form. - 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?
- Mendy
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? - 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? - Subtract mixed 2
Subtract mixed numbers: 3 1/2 - 2 4/5 (3 and one half - 2 and four-fifths.) Remember you need to make these into improper fractions before subtracting. - Subtract from mixed
If you subtract N from 8 2/5, the difference is 3 4/3. What is N? - 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?
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