Multiplication of fraction by number is, in fact, simple arithmetics. Let's try to understand as it is necessary to perform this operation correctly.
Instruction
1. First of all, it is necessary to tell that fractions are different: let's consider ordinary and decimal. Decimal it is possible to lead to ordinary at least on the basis of the name, for example, 0.325 - ""zero whole, three hundred twenty five thousand"" - at once it is clear how it is necessary to write down: 325 to divide for 1000. Further it is possible to reduce it by 5, and then for 5 (or at once to notice the general multiplier 25). More precisely to understand structure of process, say, that actually any number can be presented in the fraction form with the denominator equal to unit: 325/1 it is simple to eat number 325.
2. Multiplication of fraction by number is made by multiplication of numerator (this number over fractional line), actually on that number which is given you for performance of this operation. After multiplication it can turn out that the numerator and a denominator (this number under fractional line) can be simplified, having reduced by the general multiplier: 7/35 = (7*1) / (7*5) = 1/5 (=0.2), and it is possible not to hurry and notice this fact even before multiplication, thereby having simplified itself a task, especially if it is about large numbers.
3. The multiplier of fraction given on a condition can be fraction, in it a case multiplication according to numerator by numerator is made, a denominator on a denominator and also it is possible to make simplification. If the multiplier contains the whole part besides fractional (2.5), then about it it is impossible to forget too, and in this case it is possible to transfer this number to an improper fraction, having increased the whole part by a denominator and having added it to numerator (2.5=2 whole 5/10 = 2 whole 1/2 = (2*2+1) = 5/2) and further already to make multiplication with the fraction given on a condition. If you the beginner in this case, then the main council - practice. Here even collections of tasks are not necessary. Just independently think out any fractions and act, train! If you choose a physical-mat the direction in the future, then they multiplication of fractions will meet to you even in integrals or in physics) Good luck!