Question

1 5/6 : 2 1/3 * 3 3/4 * 4 1/5

Answer 1

Ответ:

4 1/8.

Пошаговое объяснение:

1 5/6 : 2 1/3 * 3 3/4 * 4 1/5 = 11/6 : 7/3 • 15/4 • 21/15 = (11/6 • 3/7) • (15/4 • 21/15) = (11•3)/(6•7) • 21/4 = (11•1)/(2•7) • 21/4 = 11/14 • 21/4 = (11•21)/(14•4) = (11•3)/(2•4) = 33/8 = 4 1/8.

Можно умножать все дроби сразу:

... =(11•3•15•21)/(6•7•4•15) =

(11•3•1•1)/(2•1•4•1) = 33/8 = 4 1/8.

Answer 2

To solve the given expression, you need to follow the order of operations, which is typically represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). However, since there are no parentheses or exponents in this expression, we can proceed with multiplication and division from left to right.

Step 1: Convert all mixed numbers to improper fractions. Step 2: Perform the multiplication and division operations from left to right.

Let's start with step 1:

1 5/6 = (6 * 1 + 5) / 6 = 11/6 2 1/3 = (3 * 2 + 1) / 3 = 7/3 3 3/4 = (4 * 3 + 3) / 4 = 15/4 4 1/5 = (5 * 4 + 1) / 5 = 21/5

Now, we have the expression as follows:

(11/6) : (7/3) * (15/4) * (21/5)

Next, proceed with the multiplication and division from left to right:

(11/6) : (7/3) = (11/6) * (3/7) = 33/42 = 11/14

Now we have:

(11/14) * (15/4) * (21/5)

Next, multiply the fractions:

(11/14) * (15/4) = (11 * 15) / (14 * 4) = 165 / 56

Now we have:

(165/56) * (21/5)

Finally, multiply the fractions:

(165/56) * (21/5) = (165 * 21) / (56 * 5) = 3465 / 280 = 99/8

So, the result of the expression is 99/8 or 12 3/8.