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 result spelled out 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 equals 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:
- 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? - Slices 3
A whole pizza is cut into eight equal pieces. How many slices can be cut from 6 1/2 similar pizza? - Alice 4
Alice needs 3⅕ cups of milk for her to put into the recipe. How many cups are needed for 2½ of the recipe? - Mary needs
Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order?
- A marathon 2
Dean ran marathons on 50 consecutive days. How far did Dean run altogether if a marathon is 26 1/5 miles? - Fely picked
Fely picked 4 1/2 bags of avocado at the farm. Each bag weighs 2 1/2 kg. How many kilograms of avocado did Fely pick? - A pack 2
A pack of all-purpose flour weighs 4 1/4 kilograms. Grace uses 1 1/2 packs of flour for baking a cake and 1 2/3 bags of flour for bread. How many kilograms did she use?
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