9/5 (2/3+.23=

Question

• simplify for me 

Answer 1

You can convert all the terms to fractions, then find the lowest common denominator to simplify.

9/5 (2/3 + 23/100)

Now convert the terms inside the parentheses to have a common denominator. Let's use 300.

2/3 * 100/100 = 200/300

23/100 * 3/3 = 69/300

So you have:

9/5 (200/300 + 69/300)

9/5 (269/300)

Multiply:

2421/1500

As a mixed number, that's 1 307/500

As a decimal, that's 1.614

Answer 2

9/5(2/3+.23)

Convert .23 into a fraction. While you could convert 9/5 and 2/3 into decimals, 2/3 does not reduce into a whole number and you would be forced to round, thus not making the answer the "exact" answer.

9/5(2/3+23/100)

You can now add the two fractions in the parenthesis. But first you must find a common denominator. I would recommend multiplying 2/3 by 100/100 and 23/100 by 3/3. That way you get a common denominator without changing the actual equation.

9/5(2/3(100/100)+23/100(3/3)=9/5(200/300+69/300)=9/5(269/300)

Now you can just multiply the two fractions together. Multiply the numerators and then multiply the denominators and then simplify if you can.

(9x269)/(5x300)=2421/1500=807/500 or in decimal form: 1.614

 

Answer 3

9/5 (2/3+.23=

 

1. Convert the decimal to a fraction.

2. Find the common denominator of the fractions in parentheses so they may be added.

3. Add the fractions.

4. Multiply.

5. If necessary, simplify the result.

 

1. Convert the decimal to a fraction:

9/5 (2/3 + 23/100)

 

2. Find the common denominator of the fractions in parentheses so they may be added:

The common denominator of 3 and 100 is 300. An easy way to handle this is to multiply the first fraction by 100/100 (which is 1), and the second by 3/3 (which is also 1):

9/5 (2/3 * 100/100 + 23/100 * 3/3)

9/5 (200/300 + 69/300)

 

3. Add the fractions:

9/5 (269/300)

 

4. Multiply:

9/5 (269/300) = 2421 / 1500

 

5. Simplify:

   2421 / 1500

=  807 / 500

= 1 307/500

 

Answer 4

Hey, Jayden,

 

You should note, for future reference, that the way you wrote the problem was itself a problem. You opened a parenthesis -- and assuming it to be closed at various places gives different answers! There is NO one correct answer for an ambiguously stated problem! It's like a sentence without a verb -- useless!

(9/5)*(2/3)+0.23 = (18/15) + 0.23 = 1.43;

(9/5)*(2/3+ 0.2)3 = (9/5)*(13/15)*3 = 4.68;

(9/5)*(2/3 + 0.23) = 1.614 as above.

 

So remember always to check your expressions for proper "mathematical grammar", and (as the problem requires) proper rounding and units of measurement.