Answer:
3 49/90
Explanation:
Answer:
13718−6115=34990
Solution with Steps
13718−6115=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(137/18, 61/15) = 90
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(13718×55)−(6115×66)=?
Complete the multiplication and the equation becomes
68590−36690=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
685−36690=31990
This fraction cannot be reduced.
The fraction
31990
is the same as
319÷90
Convert to a mixed number using
long division for 319 ÷ 90 = 3R49, so
31990=34990
Therefore:
13718−6115=34990
Solution by Formulas
Apply the fractions formula for subtraction, to
13718−6115
and solve
(137×15)−(61×18)18×15
=2055−1098270
=957270
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(957,270) = 3
957÷3270÷3=31990
Convert to a mixed number using
long division for 319 ÷ 90 = 3R49, so
31990=34990
Therefore:
13718−6115=34990