Question

15/17 : 5=4: 20/ 21=8 3/4 : 2 1/3

Answer 1

$\frac{15}{17}:5= \frac{15}{17}* \frac{1}{5} = \frac{3}{17}; \\ 4: \frac{20}{21}= 4 *\frac{21}{20}= \frac{21}{5}=4,2; \\ 8 \frac{3}{4} : 2 \frac{1}{3}= \frac{35}{4}: \frac{7}{3}= \frac{35}{4}* \frac{3}{7}= \\= \frac{15}{4}=3,75$

Answer 2

To solve the proportion 15/17 : 5 = 4 : 20/21 = 8 3/4 : 2 1/3, you can cross-multiply to find the missing terms.

1. For the first proportion: 15/17 : 5 = 4 : ? Cross-multiply: (15/17) * ? = 5 * 4 Solve for ?: ? = (5 * 4) / (15/17) ? = 20 / (15/17)

To divide by a fraction, you can multiply by its reciprocal. The reciprocal of 15/17 is 17/15.

? = 20 * (17/15) ? = (20 * 17) / 15 ? = 340/15

Now, simplify the fraction:

? = 68/3

2. For the second proportion: 20/21 = 8 3/4 : 2 1/3 This proportion is already given, and you don't need to calculate anything further.

So, the missing term in the first proportion is 68/3, and the second proportion is 20/21 = 8 3/4 : 2 1/3.