help me simplify this 3/4*1/5*3/10 and 6 2/3 / 10/21
(3/4)*(1/5)*(3/10)= 9/200
6 2/3 / 10/21 = (20/3)*(21/10)
= 2*7 = 14
(3/4)(1/5)(3/10)=9/200
Multiply all of the values on top for the numerator. Multiply all of the values on the bottom of the fractions for the denominator.
Is that a 6*(2/3)/(10/21)?
If so: =(12/3)/(10/21)
= 4 / (10/21)
= (4*21)/10
= 84/10
= 8.4
I think Chris made a major error on the second problem. Remember how to divide fractions?
http://www.aaastudy.com/fra.htm#topic23
To simplify a fraction, we need to multiply the numerators together and multiply the denominators together. Let's start with the first expression:
3/4 * 1/5 * 3/10
To simplify this expression, we can multiply the numerators and denominators together:
(3 * 1 * 3) / (4 * 5 * 10)
Simplifying further, we get:
9 / 200
Therefore, 3/4 * 1/5 * 3/10 simplifies to 9/200.
Now let's move on to the second expression:
6 2/3 / 10/21
To simplify this mixed fraction, we need to convert it into an improper fraction. Multiplying the whole number (6) by the denominator (3) and adding the numerator (2), we get:
(6 * 3 + 2) / 3
Simplifying further:
20 / 3
To divide this fraction by another fraction, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 10/21 is 21/10. Therefore, the expression becomes:
20 / 3 * 21 / 10
Multiplying the numerators and denominators together, we get:
(20 * 21) / (3 * 10)
Simplifying further:
420 / 30
Dividing the numerator and denominator by their greatest common divisor (GCD), which is 30, we get:
14 / 1
Therefore, 6 2/3 / 10/21 simplifies to 14/1, which is equivalent to 14.