In the process of solving mathematical tasks, a situation may occur when the fraction cannot be folded or deducted due to their various denominators. To do this, it is necessary to bring the fraction for a common denominator. Consider two examples that will help to understand the technique of bringing.
Mutually simple numbers in the denominator
Take two fractions: 5/7 and 1/2. Rannels of fractions - 7 and 2 - Mutually simple numbers. This means that these numbers have only one common divisor "Unit".
To get the smallest common multiple (NOK), you need to multiply these numbers. The second fraction of multiply by 7, the first fraction of multiply by 2. In the end, we obtain two new fractions with a common denominator: 10/14 and 7/14.
Decomposition of the denominator for simple factors
Take two fractions: 3/26 and 5/39. Dannels of fractions - 26 and 39. Spread them on simple factors.
- For denominator 26 \u003d 2 * 13
- For denominator 39 \u003d 3 * 13
The smallest common multiple for denominators is 2 * 3 * 13. Each fraction of the doubt on the missing multiplier. Consequently, we multiply the first fraction to 3, and the second fraction is 2.
Perform a multiplication process and bringing to a common denominator. We take the first fraction, multiply the numerator and denominator on 3. with the second fraction we carry out similar actions, only multiply on 2. We get two new fractions with a common denominator. 9/78 and 10/78.
Thanks to this example, we learned to bring a fraction to a common denominator. The main thing is to find the smallest common multiple. The technique of bringing is very simple, but requires care and practice.
348
