Question

9 1/3:7/8*7/10:14/27 (21*18):14 50:(16*25) (12*15):40 (4*24):(2*8)

Answer 1

Ответ:

Пошаговое объяснение:

9 1/3:7/8*7/10:14/27=14,4

9 1/3:7/8=28/3*8/7=32/3

32/3*7/10=112/15

112/15:14/27=112/15*27/14=72/5=14,4

(21*18):14=378:14=27

50:(16*25)=50:400=0,125

(12*15):40=180:40=4,5

(4*24):(2*8)=96:16=6

Answer 2

To simplify the given expression, let's calculate it step by step:

9 1/3:7/8*7/10:14/27

First, let's deal with the division operations:

9 1/3 : 7/8 * 7/10 : 14/27

Convert the mixed number 9 1/3 to an improper fraction:

(9 * 3 + 1) / 3 = 28/3

Now, rewrite the expression:

28/3 : 7/8 * 7/10 : 14/27

To divide fractions, we invert the second fraction and multiply:

28/3 * 8/7 * 10/7 : 14/27

Simplify the fractions before multiplication:

(4 * 8)/(1 * 7) * (5 * 2)/(1 * 7) : 14/27

Simplify the multiplication:

(32/7) * (10/7) : 14/27

Now, let's multiply fractions:

(32 * 10)/(7 * 7) : 14/27

Simplify the multiplication:

(320/49) : 14/27

To divide fractions, we invert the second fraction and multiply:

(320/49) * (27/14)

Multiply the numerators and denominators:

(320 * 27)/(49 * 14)

Calculate the result:

(8640/686) ≈ 12.6

So, the value of the given expression is approximately 12.6.