Calculator sum mixed number and an improper fraction
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 3/5 + 11/5 = 19/ = 3 4/ = 3.8Spelled result in words is three and four fifths (or nineteen fifths).
- Conversion a mixed number 1 3/ to a improper fraction: 1 3/5 = 1 3/ = 1 · 5 + 3/ = 5 + 3/ = 8/
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/ = 5/
b) Add the answer from the previous step 5 to the numerator 3. New numerator is 5 + 3 = 8
c) Write a previous answer (new numerator 8) over the denominator 5.
One and three fifths is eight fifths.
- Add: 8/ + 11/ = 8 + 11/ = 19/
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(5, 5) = 5. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 5 = 25. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight fifths plus eleven fifths is nineteen fifths.
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.
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