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:
19 1/2 + 5 5/8 + 6 1/4 = 251/8 = 31 3/8 = 31.375
Spelled result in words is thirty-one and three eighths (or two hundred fifty-one eighths).Calculation steps
- Conversion a mixed number 19 1/2 to a improper fraction: 19 1/2 = 19 1/2 = 19 · 2 + 1/2 = 38 + 1/2 = 39/2
To find a new numerator:
a) Multiply the whole number 19 by the denominator 2. Whole number 19 equally 19 * 2/2 = 38/2
b) Add the answer from the previous step 38 to the numerator 1. New numerator is 38 + 1 = 39
c) Write a previous answer (new numerator 39) over the denominator 2.
Nineteen and one half is thirty-nine halfs. - Conversion a mixed number 5 5/8 to a improper fraction: 5 5/8 = 5 5/8 = 5 · 8 + 5/8 = 40 + 5/8 = 45/8
To find a new numerator:
a) Multiply the whole number 5 by the denominator 8. Whole number 5 equally 5 * 8/8 = 40/8
b) Add the answer from the previous step 40 to the numerator 5. New numerator is 40 + 5 = 45
c) Write a previous answer (new numerator 45) over the denominator 8.
Five and five eighths is forty-five eighths. - Add: 39/2 + 45/8 = 39 · 4/2 · 4 + 45/8 = 156/8 + 45/8 = 156 + 45/8 = 201/8
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(2, 8) = 8. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - thirty-nine halfs plus forty-five eighths is two hundred one eighths. - Conversion a mixed number 6 1/4 to a improper fraction: 6 1/4 = 6 1/4 = 6 · 4 + 1/4 = 24 + 1/4 = 25/4
To find a new numerator:
a) Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4 = 24/4
b) Add the answer from the previous step 24 to the numerator 1. New numerator is 24 + 1 = 25
c) Write a previous answer (new numerator 25) over the denominator 4.
Six and one quarter is twenty-five quarters. - Add: the result of step No. 3 + 25/4 = 201/8 + 25/4 = 201/8 + 25 · 2/4 · 2 = 201/8 + 50/8 = 201 + 50/8 = 251/8
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(8, 4) = 8. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 4 = 32. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - two hundred one eighths plus twenty-five quarters is two hundred fifty-one eighths.
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:
- Adding mixed fractions
Add these two mixed numbers: 1 5/6 + 2 2/11= - A more than b
What is 5 1/7 more than 2 3/7? - 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? - Jiwan
Jiwan Incorrectly Wrote 1+ 1/2 + 1/3 + 1/4 =1 3/9 Show The Correct Working And Write Down The Answer As A Mixed Number.
- Two mixed adding
What is 1 and 1/6 + 1 and 3/6? - Pizza party
At a pizza party, Diego and his friends ate one and one-fourth cheese pizza and three-eighths pepperoni pizzas. How much pizza did they eat in all? - Negative mixed 2
What is −4 2/3 + 2 1/2? Write the answer as a mixed number in simplest form. - Add two fractions
What is 1/2 added to 2/3? * 1 point A. 1 3/12 B. 1 5/6 C. 1 1/6 D.1 1/4 - Sum of 18
The sum of two fractions is 4 3/7. If one of the fractions is 2 1/5, find the other one.
- Adding mixed numerals
3 3/4 + 2 3/5 + 5 1/2 Show your solution. - Sugar 9
Joe has two containers of sugar. One container has 1 2/5 cups. The other container has 4 1/10. If he uses 1 4/5 of sugar how much does he have left? - Type an
Type an expression to match, and then evaluate. Type your answer as a mixed number. 4 times as much as the sum of 1/5 and 2/3 - Bottles
At a pizza party, James and his friends drank 1 2/3 bottles of sprite, 1 5/8 bottles of Cola, and 4 2/6 bottles of Kofola. How much soda did they drink in total? - Add+subtract mixed numerals
What is the result when 3 ¼ + 2 ⅙ is subtracted from 4 ½ - 3 ¾
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