Question

36.6-5 1/3= 7 2/3:2 1/3= Help!!!!!!!!!!!

Answer 1

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Answer 2

Let's break down the calculations step by step.

1. 36.6 - 5 1/3

To subtract mixed numbers like this, we need to convert the mixed number to an improper fraction. To do this, we multiply the whole number by the denominator and add the numerator. So:

5 1/3 = (5 x 3) + 1 / 3 = 16/3

Now we can subtract:

36.6 - 16/3

To subtract decimals and fractions, we need to find a common denominator. The easiest way is to convert the decimal to a fraction with the same denominator as the fraction:

36.6 = 366/10

Now the common denominator is 30:

366/10 - 16/3 = (1098/30) - (160/30) = 938/30

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (which is 2 in this case):

938/30 = (469/15)

So, 36.6 - 5 1/3 = 469/15

2. 7 2/3 : 2 1/3

To divide mixed numbers, we need to convert them to improper fractions:

7 2/3 = (7 x 3) + 2 / 3 = 23/3 2 1/3 = (2 x 3) + 1 / 3 = 7/3

Now we can divide by multiplying by the reciprocal:

23/3 ÷ 7/3 = 23/3 x 3/7 = (23 x 3) / (3 x 7) = 69/21

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (which is 3 in this case):

69/21 = (23/7)

So, 7 2/3 : 2 1/3 = 23/7

Therefore, the final answers are:

• 36.6 - 5 1/3 = 469/15
• 7 2/3 : 2 1/3 = 23/7