The multiplication of a fraction by a number is, in fact, simple arithmetic.
Let's try to figure out how to properly perform this action.
First of all, it must be said that fractions are different: consider ordinary and decimal fractions.
Decimal can be reduced to an ordinary one, at leastBased on the name, for example, 0.325 - "zero whole, three hundred twenty five thousandths" - it is immediately clear how to write: 325 divide by 1000. Then you can reduce it by 5, and then another 5 (or immediately notice the common multiplier 25) .
To better understand the structure of the process, let us say that virtually any number can be represented as a fraction with a denominator equal to one: 325/1 is simply the number 325.
The multiplication of a fraction by a number is made by multiplying the numerator (this number is above the fractional line), actually by the number that you are given to perform this operation.
After multiplication, it may turn out that the numerator andThe denominator (this number under the fractional line) can be simplified by reducing by a common factor: 7/35 = (7 * 1) / (7 * 5) = 1/5 (= 0.2), and you can take your time and notice this fact before Multiplication, thereby simplifying the task, especially when it comes to large numbers.
Given by the condition, the fraction multiplier can itself be a fraction, in this case the numerator is numerically multiplied by the numerator, the denominator by the denominator, and it is also possible to make the simplification.
If the factor contains an integer part in addition to(2.5), then you can not forget about it either, and in this case you can translate the given number into an irregular fraction, multiplying the whole part by the denominator and adding it to the numerator (2.5 = 2 integers 5/10 = 2 integers 1/2 = ( 2 * 2 + 1) = 5/2) and then multiply with the fraction given by the condition.
If you are new to this business, then the main advice -practice. Here, even collections of tasks are not needed. Just make up any fractions yourself and act, practice! If you select the physical direction in the future, then they will multiply fractions in integrals or in physics)