( 1/3 +1 1/16 − 13/24 + 1/8 )∙96

Mathematics

1 answer:

Ainat [17]4 years ago

6 0

Answer:

Step-by-step explanation:

We must first evaluate the expression in parentheses (remember our order of operations, PEMDAS). To do this, we must find a common denominator.

The first thing that 3, 16, 24 and 8 will all divide into is 48; we must convert each fraction to 48ths.

It takes 16 3's to make 48; this means we multiply the top and bottom of this fraction by 16. This gives us 16/48.

It takes 3 16's to make 48; this means we multiply the top and bottom of this fraction by 3. This gives us 1 3/48.

It takes 2 24's to make 48; this means we multiply the top and bottom of this fraction by 2. This gives us -26/48.

It takes 6 8's to make 48; this means we multiply the top and bottom of this fraction by 6. This gives us 6/48.

This means we have

(16/48 + 1 3/48 - 26/48 + 6/48)(96)

(1 19/48 - 26/48 + 6/48)(96)

(67/48 - 26/48 + 6/48)(96)

(41/48 + 6/48)(96)

47/48(96) = (47*96)/(48) = 47*2 = 94

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3 years ago

Simplify this expression. 20.25 – 9 + 11 о 1 4 0 18.75 0 21? 0 40.75

Greeley [361]

Answer:

$21\frac{3}{4}$

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as $20\frac{1}{4}$ , because $\frac{2025}{100}$ = $\frac{81}{4}$ = $20\frac{1}{4}$ . So if we add $20\frac{1}{4}$ and 11, we would get $31\frac{1}{4}$

Step 2: Solve

$31\frac{1}{4} -9\frac{1}{2}$

Subtract the whole numbers

$31-9=21$

Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

$\frac{5}{4}-\frac{1}{2}$