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?
- Juan collected
Juan collected 1 1/2 bins of glass bottles to recycle. Richard collected 4 2/3 times as many bins as Juan. How many bins of bottles did Richard collect?
- Slices 3
A whole pizza is cut into eight equal pieces. How many slices can be cut from 6 1/2 similar pizza?
- 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
- Multiply 17
Multiply each of the following fractions. Show your work and write your answer as a fraction in simplest form and as a mixed number. You may or may not use the mixed number boxes. Multiply the Fractions ; Result of Multiplying ; Simplest Form ; Mixed Numb
- 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?
- Mathematical sentence
Create a mathematical sentence and give the answer. Thrice the product of 3/6 and 2 4/7 gives a result of ___________
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