Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
= ( 16 3/9 ) - ( 10 2/5 )
First we will convert each of the mixed numerals into improper fractions. To obtain the numerator for each of the improper fractions, multiply the whole number by the denominator and add the numerator. To obtain the denominator for each of the improper fractions, simply keep the same denominator used in the mixed numerals.
= ( 147 / 9 ) - ( 52 / 5 )
Next we will make the denominator of both of the improper fractions the same. To achieve this, we will first find the lower common multiple ( LCM ) of the two denominators.
LCM of 9 and 5 = 45
Then we will multiply both the numerator and denominator in 147 / 9 by 5 and we will multiply both the numerator and denominator in 52 / 5 by 9.
= ( 735 / 45 ) - ( 468 / 45 )
= ( 735 - 468 ) / 45
After that we will solve the subtraction in the numerator and leave the denominator alone.
= 267 / 45
OR
= 5 42 / 45
As this can't be further simplified, we will leave the answer alone.
FINAL ANSWER:
Therefore, the final answer is:
= 267 / 45
OR
= 5 42 / 45
Hope this helps! :)
Have a lovely day! <3
