Question

Сократите дробь а) 6/30 * 15/18; б) 63/49 * 56/45 в) 8/27 * 9/6; г) 12 * 15 * 26 / 13 * 120

Answer 1

А) 6/30 * 15/18=1/6;/// б) 63/49 * 56/45=56/35=8/5=1ц 3/5;//// в) 8/27 * 9/6=4/9;//// г) 12 * 15 * 26 / 13 * 120=30/10=3

Answer 2

А)1/5*5/6=1/6
б)63/49*56/45=9/7*8/5=72/45=1,6
в)8/27*3/2=4/9
г)3

Answer 3

Ответ на вопрос: Сократите дроби

а) 6/30 * 15/18:

To simplify the fraction 6/30 * 15/18, we can first simplify each fraction individually.

Simplifying 6/30: Both the numerator and denominator are divisible by 6, so we can divide them both by 6 to simplify the fraction. This gives us 1/5.

Simplifying 15/18: Both the numerator and denominator are divisible by 3, so we can divide them both by 3 to simplify the fraction. This gives us 5/6.

Now that we have simplified the individual fractions, we can multiply them together:

1/5 * 5/6 = (1 * 5) / (5 * 6) = 5/30.

To further simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5.

Dividing 5/30 by 5 gives us 1/6.

Therefore, 6/30 * 15/18 is equal to 1/6.

б) 63/49 * 56/45:

To simplify the fraction 63/49 * 56/45, we can first simplify each fraction individually.

Simplifying 63/49: Both the numerator and denominator are divisible by 7, so we can divide them both by 7 to simplify the fraction. This gives us 9/7.

Simplifying 56/45: Both the numerator and denominator are divisible by 7, so we can divide them both by 7 to simplify the fraction. This gives us 8/9.

Now that we have simplified the individual fractions, we can multiply them together:

9/7 * 8/9 = (9 * 8) / (7 * 9) = 72/63.

To further simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 9.

Dividing 72/63 by 9 gives us 8/7.

Therefore, 63/49 * 56/45 is equal to 8/7.

в) 8/27 * 9/6:

To simplify the fraction 8/27 * 9/6, we can first simplify each fraction individually.

Simplifying 8/27: There are no common factors between the numerator and denominator that can be divided, so the fraction remains as 8/27.

Simplifying 9/6: Both the numerator and denominator are divisible by 3, so we can divide them both by 3 to simplify the fraction. This gives us 3/2.

Now that we have simplified the individual fractions, we can multiply them together:

8/27 * 3/2 = (8 * 3) / (27 * 2) = 24/54.

To further simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6.

Dividing 24/54 by 6 gives us 4/9.

Therefore, 8/27 * 9/6 is equal to 4/9.

г) 12 * 15 * 26 / 13 * 120:

To simplify the expression 12 * 15 * 26 / 13 * 120, we can perform the multiplication and division operations in the given order of operations (also known as PEMDAS or BODMAS).

12 * 15 * 26 = 4680.

Now, let's divide 4680 by 13:

4680 / 13 = 360.

Finally, let's multiply 360 by 120:

360 * 120 = 43200.

Therefore, 12 * 15 * 26 / 13 * 120 is equal to 43200.