In mathematics, the term 'of' always indicates multiplication. So we are going to multiply our percentage by the fraction to find the result.
To make this process simpler, we can start off my translating both values into decimals.
In order to change a percentage into a decimal, you can either divide the percentage by 100, or (my personal shortcut) just shift the decimal point over two places to the left.
10% = 0.1
Now, onto the fraction.
To change [tex]2 \frac{3}{8} [/tex] into a decimal, we simply need to set the whole number aside and then complete the fraction by dividing the numerator by the denominator.
3 / 8 = 0.375
Now, we can reattach the whole number to get our entire decimal:
2.375
From here, we can multiply these two values to get our answer:
0.1 * 2.275 = 0.2375
which is the decimal form of our answer. In order to find the fractional form, we must simply put all of the numbers to the left of the decimal point as the numerator of a fraction, with a multiple of 10 with as many zeros as there are numbers to the left of the decimal point as the denominator.
0.2375 = [tex] \frac{2375}{10000} [/tex]
And we can reduce this fraction heavily by dividing out like terms. For the sake of time, I will eliminate this step to tell you that the finished reduction shows us a fraction of [tex] \frac{19}{80} [/tex].
So there you have it.
10% of 2 [tex] \frac{3}{8} [/tex] is 0.2375 or [tex] \frac{19}{80} [/tex].
Hope that helped! =)
