What is the value of 5 2/3(−3.6)?

-2 1/15

2 2/5

-20 2/5

2 1/15

can someone answer this question or you basic noob :P

Hello, Your answer will be -20 2/4.

Step-by-step explanation:

Conversion a mixed number 5 2

3

to a improper fraction: 5 2/3 = 5 2

3

= 5 · 3 + 2

3

= 15 + 2

3

= 17

3

To find new numerator:

a) Multiply the whole number 5 by the denominator 3. Whole number 5 equally 5 * 3

3

= 15

3

b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17

c) Write previous answer (new numerator 17) over the denominator 3.

Five and two thirds is seventeen thirds

Conversion a decimal number to a fraction: -3.6 = -36

10

= -18

5

a) Write down the decimal -3.6 divided by 1: -3.6 = -3.6

1

b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

-3.6

1

= -36

10

Note: -36

10

is called a decimal fraction.

c) Simplify and reduce the fraction

-36

10

= -18 * 2

5 * 2

= -18 * 2

5 * 2

= -18

5

Multiple: 17

3

* (-3.6) = 17 · (-18)

3 · 5

= -306

15

= -102 · 3

5 · 3

= -102

5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-306, 15) = 3. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seventeen thirds multiplied by minus eighteen fifths = minus one hundred two fifths. Hope That Helps!

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