# 1) 3 5/7 divided by 7/82)12 5/6 + 8 9/163)6(-3) (-3 is an exponent)4)14569000There are 4 questions.number 1 and 2, is solving fractions.(division and addition)number 3 is writing it into...

1) 3 5/7 divided by 7/8

2)12 5/6 + 8 9/16

3)**6**(-3) (-3 is an exponent)

4)14569000

There are 4 questions.

number 1 and 2, is solving fractions.(division and addition)

number 3 is writing it into standard form

number 4 is expressing the number into scientific notation.

please help me thank you

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### 3 Answers

In dividing fractions you first have to make all numbers improper by multiplying the denominator by the whole number and add it to the numerator. You invert the second fraction and multiply then reduce. The answer to 1 is **4 and 12/49**

In adding fractions you must find the common denominator then add the numerators, place that over the denominator and reduce. The answer to # 2 ) is **21 and 19/48**

In three you must multiply 1/6 by 1/6 by 1/6 and the answer is 1/216. When you have a negative exponent you must use the reciprocal of 6 which is 1/6.

Last 1.4569 X 10 (7) with 7 being exponent. You move the decimal all the way over to the first number and then count you place values to find the exponent.

1) 3 5/7 divided by 7/8.

First, change 3 5/7 into an improper fraction of 26/7 and then divided by 7/8. Remember to flip 7/8 over to become 8/7 and also to change the division sign to the multiplication sign when you do so. LIke this:

3 5/7 / 7/8 = 26/7 * 8/7

= **4 12/49**

2) 12 5/6 + 8 9/16

convert both fractions into improper fractions:

77/6 + 137/16

Then, find the common denominator which is 48

616/48 + 411/48

= 1027/48

= **21 19/48**

3) 6^ -3

convert negative index to positive index, which is:

1/6^3= **1/216**

**4) **14569000

Move the decimal to the first number. The number before the decimal place must be less than 10 and more than zero, like from 1-9, and later count the place values to get the index notation, which is at its 7th power. So, the index notation should be:

**1.4569 * 10^7**

1. 3 5/7 divided by 7/8...

Change 3 5/7 to an improper fraction... 26/7 then multiply it by the recripical of 7/8 which is 8/7. Now we have 26/7 x 8/7 = 208/49 = 4 12/49

2. 12 5/6 + 8 9/16

Find a common denominator... 48 Find the equivalent fractions 12 5/6 = 12 40/48 8 9/16 = 8 27/48 Add them

20 67/48 = 21 19/48

3. 6(-3) = -18 () is the same as multiplying. A positive times a negative is a negative.

4. 14569000 = 1.4569 X 10 to the 7th power.