Question

3 1/8 (8-y)-4 5/8(y-16)

Answer 1

   $3\frac{1}{8} (8-y)-4\frac{5}{8} (y-16)=$

$=\frac{25}{8} (8-y)-\frac{37}{8} (y-16)=$

$=\frac{1}{8} *(25* (8-y)-37* (y-16))=$

$=\frac{1}{8} *(200-25y-37y+592)=$

$=\frac{1}{8} *(792-62y)=99-7,75y$

Answer 2

To simplify the expression, let's start by expanding the brackets:

3 1/8 (8 - y) - 4 5/8 (y - 16)

We can distribute the terms:

(3 1/8) * 8 - (3 1/8) * y - (4 5/8) * y + (4 5/8) * 16

Now, let's convert the mixed numbers into improper fractions:

3 1/8 = 25/8 4 5/8 = 37/8

Substituting the values:

(25/8) * 8 - (25/8) * y - (37/8) * y + (37/8) * 16

Now, let's simplify the expression further:

25 - (25/8) * y - (37/8) * y + (37/8) * 16

Multiplying the fractions:

25 - (25y/8) - (37y/8) + (37*16/8)

25 - (25y/8) - (37y/8) + (592/8)

Combining like terms:

25 + 592/8 - (25y/8) - (37y/8)

Converting the whole number to a fraction:

(25 * 8/8) + 592/8 - (25y/8) - (37y/8)

(200/8) + 592/8 - (25y/8) - (37y/8)

Now, let's combine all the terms:

(200 + 592 - 25y - 37y)/8

Simplifying the numerator:

(792 - 62y)/8

The simplified expression is (792 - 62y)/8.