Question

(3целых1/6+5целых1/6:4целых2/15)*3/92

Answer 1

Ответ:18/115

Пошаговое объяснение:(3 1/6+5 1/6:4 2/15)*3/92

1) 5 1/6:4 2/15=31/6:62/15=(31·15)/(6·62)=15/12=5/4

2) 3 1/6+5/4=19/6+5/4=((19·4)+(5·6))/20=(76+30)/20=96/20=24/5

3) 24/5·3/92=(24·3)/(5·92)=18/115

Answer 2

To solve the expression (3целых1/6 + 5целых1/6 : 4целых2/15) * 3/92, you can follow these steps:

Step 1: Perform the division inside the parentheses: 5целых1/6 : 4целых2/15

To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction:

(5целых1/6) * (15/4целых2)

Step 2: Simplify the fractions in the division:

(5целых1/6) * (15/4целых2)

Step 3: Calculate the division:

(5 * 1 * 15) / (6 * 4 * 2)

(75) / (48)

Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it:

GCD of 75 and 48 is 3.

(75 / 3) / (48 / 3)

25/16

Now that you have simplified the expression inside the parentheses, your expression becomes:

(3целых1/6 + 25/16) * 3/92

Step 5: Add the fractions inside the parentheses:

To add fractions with different denominators, you need to find a common denominator. In this case, the common denominator would be 48 (the least common multiple of 6 and 16).

Rewrite both fractions with the common denominator:

(3целых8/48 + 25/16) * 3/92

Step 6: Add the fractions with the common denominator:

(3целых8/48 + 75/48) * 3/92

Now, you have a common denominator, and you can add the fractions:

(3целых8/48 + 75/48) = (3целых8 + 75)/48 = 3целых83/48

So, the expression becomes:

(3целых83/48) * 3/92

Step 7: Multiply the fractions:

To multiply fractions, multiply the numerators together and the denominators together:

(3целых83/48) * (3/92) = (3 * 83 * 3) / (48 * 92)

Now, calculate the multiplication:

(747) / (4416)

Step 8: Simplify the fraction by finding the GCD of the numerator and denominator:

GCD of 747 and 4416 is 3.

(747 / 3) / (4416 / 3) = 249 / 1472

So, the final simplified result of the expression is 249/1472.