Calculator subtracting mixed number and 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 - 5/6 = 23/30 ≅ 0.7666667
The result spelled out in words is twenty-three thirtieths.Calculation steps
- Conversion a mixed number 1 3/5 to a improper fraction: 1 3/5 = 1 3/5 = 1 · 5 + 3/5 = 5 + 3/5 = 8/5
To find a new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5/5 = 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. - Subtract: 8/5 - 5/6 = 8 · 6/5 · 6 - 5 · 5/6 · 5 = 48/30 - 25/30 = 48 - 25/30 = 23/30
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(5, 6) = 30. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words, eight fifths minus five sixths equals twenty-three thirtieths.
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.Mixed number in word problems:
- Difference of mixed numbers
12 1/2 - 9 1/5. What is the difference?
- 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?
- 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?
- The melon
There was 1 3/6 melon left for dinner. At dinner time, the family ate 4/6 of the melon. What part of the melon was left for the next meal?
- Chicken
Lola Flora bought 4 ¾ kg of chicken. She cooked 2 ¼ kg and refrigerated the rest. How many kilograms of chicken were left?
- Puppy
A family adopts a puppy that weighs seven and 7/8 pounds. Two weeks later, they take him to the vet, and he weighs 12 and 3/16 pounds. How much weight did the pit puppy gain?
- The sum 42
The sum of two fractions is 6 5/6. If the bigger fraction is subtracted by 3/4, the difference is 4 7/12. What is the smaller fraction?
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