Question

|-13/30|÷|-1 11/15| ​

Answer 1

Ответ:

$\frac{1}{4}$

Пошаговое объяснение:

$| - \frac{13}{30} | \div | - 1 \frac{11}{15} | = \frac{13}{30} \div | - 1 \frac{11}{5} | = \frac{13}{30} \div1 \frac{1}{15} = \frac{13}{30} \div \frac{26}{15} = \frac{13}{30} \times \frac{15}{26} = \frac{1}{30} \times \frac{15}{2} = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

Answer 2

To divide |-13/30| by |-1 11/15|, we need to first convert the mixed number |-1 11/15| into an improper fraction.

|-1 11/15| is equal to -(1 + 11/15). To convert this into an improper fraction, we multiply the whole number (-1) by the denominator of the fraction (15) and add the numerator (11). This gives us -26/15.

So |-1 11/15| is equal to -26/15.

Now, we can perform the division:

|-13/30| ÷ |-1 11/15|

= |-13/30| ÷ |-26/15|

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of |-26/15| is |-15/26|.

Therefore,

|-13/30| ÷ |-26/15|

= |-13/30| × |-15/26|

To simplify the expression further, we can cancel out common factors between the numerators and denominators:

|-13/30| × |-15/26|

= (13/30) × (15/26)

Now, we can multiply the numerators and denominators:

(13/30) × (15/26) = (13 × 15) / (30 × 26) = 195/780 = 5/20 = 1/4

Therefore, |-13/30| ÷ |-1 11/15| is equal to 1/4.