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" ... multiply by the RECIPROCAL of the divisor.
No. Dividing fractions is achieved by inverting the divisor and multiplying the resulting fractions. To multiply fractions the numerators are multiplied together to form the new numerator and the denominators are multiplied together to form the new denominator.
It is easier to multiply or divide fractions than to add or subtract fractions because in multiplication, you just have to multiply the numerator by the numerator and the denominator by the denominator. Same applies with division of fractions, except that you have to reciprocate the fraction you're dividing with (divisor) then proceed to multiplication. Whereas, in addition and subtraction of fractions, you still have to get their Least Common Denominator (LCD).
To divide fractions, you multiply the dividend by the reciprocal of the divisor. Example: 1/5 ÷ 2/3 = 1/5 x 3/2 = 3/10
multiplying rational expressions means multiplying two alg. rxpressions that look like fractions, Just like normal, multiply numerators and multiply denominators then reduce. Division, just like regular fractions means to invert the divisor and the multiply (as above)
Some people do that so that the divisor becomes an integer under the impression that dividing by a whole number is, in some way, easier than dividing by a decimal.
In multiplication and division of fractions, both involve multiplication. This is their similarity. In multiplication of fractions, multiply the numerator by the numerator of the other fraction and the denominator by the denominator of the other fraction. Example: 1/2 * 2/3 = 2/6 In division of fractions, reciprocate the divisor then follow the step in multiplying fractions. Example: 1/2 ÷ 2/3 = 1/2 * 3/2 = 3/4
the divisor is the number your dividing into.
It is not just in fractions. In general, division can be defined as multiplication by the reciprocal. For example, dividing by 5 is the same as multiplying by 0.2. However, it is mainly in calculations with fractions that this is normally used as a practical way of doing the calculations.
Divisor
If you are a beginner and not comfortable doing divisions when either the numerator or particularly the denominator are decimal fractions, then it is useful to multiply them both by the same power of 10 to get rid of the decimal fractions.
A divisor is the number in a division problem, that you are dividing by to get your answer.