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:
4 - 2/5 = 18/5 = 3 3/5 = 3.6
The result spelled out in words is three and three fifths (or eighteen fifths).Calculation steps
- Subtract: 4 - 2/5 = 4/1 - 2/5 = 4 · 5/1 · 5 - 2/5 = 20/5 - 2/5 = 20 - 2/5 = 18/5
The first operand is an integer. It is equivalent to a fraction 4/1. It is suitable to adjust both fractions to a common (equal) denominator for subtracting fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 5) = 5. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 5 = 5. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words, four minus two fifths equals eighteen 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.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
• 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:
- Estimate subtraction
What's the estimate of 3 1/3 - 1 5/6?
- Subtract 27
Subtract these mixed fractions: 7 2/3 and 3 1/9.
- Mother 17
Mother has 2/5 cups of flour. She needs 2 1/4 cups of flour for the planned cake. How many cups of flour does she need to buy?
- A bamboo plant
I cut 3 1/6 m off of a bamboo plant 4 1/2 m high. How big was it after I cut it down?
- Mr. Giron
Mr. Giron had a rope that was 4 ¼ feet long. His dog bit and cut off 1 ½ foot of the rope. How long is Mr. Giron's rope now?
- Mang Ben
Mang Ben took 7 3/10 meters of copper wire for the electrical wiring from a coil of wire 13 7/15 meters long. How much copper wire was left from the coil?
- Fruits 7
Bianca bought 3 1/4 kilograms of fruits. This morning, her brother used 1 3/4 kilograms of the fruits for a shake. How many kilograms of fruits were left?
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