Calculator multiplication of mixed numbers
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.
3 3/4 * 2 2/5 = 9/1 = 9
The spelled result in words is nine.Calculation steps
- Conversion a mixed number 3 3/4 to a improper fraction: 3 3/4 = 3 3/4 = 3 · 4 + 3/4 = 12 + 3/4 = 15/4
To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/4 = 12/4
b) Add the answer from the previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters. - Conversion a mixed number 2 2/5 to a improper fraction: 2 2/5 = 2 2/5 = 2 · 5 + 2/5 = 10 + 2/5 = 12/5
To find a new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/5 = 10/5
b) Add the answer from the previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
c) Write a previous answer (new numerator 12) over the denominator 5.
Two and two fifths is twelve fifths. - Multiple: 15/4 * 12/5 = 15 · 12/4 · 5 = 180/20 = 9 · 20/1 · 20 = 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the following intermediate step, cancel by a common factor of 20 gives 9/1.
In other words - fifteen quarters multiplied by twelve fifths is nine.
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:
- Whole and fractions
3 whole one by 8 + (- 1 by 4) - Square yards
What is 4 1/3 yards times 5 2/3 yards? - Prawns and carbs
I buy 3 1/4 kg of prawns and 4 2/5 kg of carbs. 1 kg of prawns is RM 24 and 1 kg of carbs is RM 10. If I pay RM 50, what is my change? - Multiply mixed
What is six-eighths times five? Your answer should be in mixed number form. Some hints: one and ten-thirtieths three and six-eighths six and four-sixths nine and three-fifths
- Mixed numbers equation
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box. - Negative mixed number 2
What is the product of 1 1/2 and -1 1/4? Enter your answer as a mixed number, in simplest form, in the box. - Grapes 2
Grapes cost 2.17 USD/lb. A customer purchases 1 3/4 lb of grapes. How much did the customer pay for the grapes round to the nearest cent? - George
George decided to use blue paint to paint a wall with two windows. The wall is 12 7/8 ft by 8 ft. Both windows are 3 1/2 ft by 4 1/2 ft rectangles. Find the area the paint needs to cover. - Quarts of strawberries
Geraldine picked 4 1/2 quarts of strawberries, while Lonnie picked 3/4 as many. Thus, Lonnie picked 4 1/2 quarts of strawberries, while Geraldine picked 4 1/2 quarts of strawberries.
- A jug
A jug holds 1 2/3 of a liter of water. How much does a 5 1/2 jug hold? - Product of the fractions
By how much is the product of 2½ and 3⅘ less than 20? - Janna 2
Janna lives 4 3/10 miles from school. She estimates she travels 4 x 2 x 5 or 40 miles weekly. Is her estimate an overestimate or an underestimate? Explain. - Finn collected
Finn collected 5 pounds of newspaper for the recycling drive. Darnel collected 4 1/2 times as much newspaper as Finn. How many pounds of the newspaper did Darnel collect? - The recipe 3
The recipe for cookies with cream requires 1 2/6 cups of cream for 1 tub. How many cups of cream will you need for 4 tubs?
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