Operations with Whole Numbers and Fractions Operations with Whole Numbers and Fractions When we ask, "What is 4/5 of 55?" or "What is 1/6 of 18/5?", we are really asking, "What is 4/5 times 55?" and "What is 1/6 times 18/5?". When dealing with fractions, the word "of" indicates multiplication. So how does one multiply fractions? The first step in multiplying fractions is to change all mixed numbers into improper fractions (See Converting Mixed Fractions. For example, 2 2/3 becomes 8/3. Converting mixed numbers into improper fractions makes them easier to multiply.To multiply two (proper or improper) fractions, multiply their numerators together and then multiply their denominators together--these two numbers will be the numerator and the denominator of the new fraction. Canceling Out :- If the numerator and the denominator have a common factor, we can divide by the common factor to reduce the fraction to lowest terms and make the multiplication easier to carry out. Since the numerators of the fractions we are multiplying become a single numerator and the denominators become a single denominator, we can also cancel out factors of the numerator of one fraction with factors of the denominator of the other.Note that, in the second step, the "3" in the numerator and the "9" in the denominator reduced to a "1" in the numerator and a "3" in the denominator. Know More About :- Property of Division
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Dividing Fractions :- To divide fractions, we must again change all mixed numbers into improper fractions. Then we note that since multiplication and division are inverses of each other, multiplying by 4 is the same as dividing by 1/4. Similarly, dividing by a fraction is the same as multiplying by its inverse. To find the inverse of a fraction, switch the numerator and the denominator. If the fraction is a whole number, then it can be written as the whole number over 1, and its inverse is 1 over the whole number. Thus, to divide by a fraction, multiply by its inverse. Improper fractions and the whole numbers are the sub-types of number system. Both number systems can perform the various types of activity to solve the problem that are related to mathematics. So, before performing any operation we need to understand the concept of improper fractions and whole numbers. Improper fractions numbers are the type of fractional numbers in number system. In the specific definition improper number can be define as a fraction that has a numerator value larger than or equal to the denominator value. As we know that fractional numbers are those numbers that can represent the two integer’s values in the form of numerator and denominator numbers. As a name specify that improper fractions means a fraction that is not in proper format. We show the various step to perform the Subtracting Improper Fractions and Whole Numbers. In the case of subtracting the improper fractions with the whole numbers, we need to follow the some steps: a)
First convert the whole numbers into the fractions.
b)
After determining the fraction numbers, calculate the LCM.
c)
Then equalize the denominators of both numbers.
d)
At last perform the subtraction between the given fractional numbers.
e)
In the end there is a any need then simplify the obtained fraction.
Read More About :- Multiplication Method
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