Answer:19.11875
Step-by-step explanation:(17/8+44/5)×21/12
Least common multiple of 8 and 5 is 40. Convert
8
17
and
5
44
to fractions with denominator 40.
(
40
85
+
40
352
)×(
12
21
)
Since
40
85
and
40
352
have the same denominator, add them by adding their numerators.
40
85+352
×(
12
21
)
Add 85 and 352 to get 437.
40
437
×(
12
21
)
Reduce the fraction
12
21
to lowest terms by extracting and canceling out 3.
40
437
×(
4
7
)
Multiply
40
437
times
4
7
by multiplying numerator times numerator and denominator times denominator.
40×4
437×7
Do the multiplications in the fraction
40×4
437×7
.
160
3059
Factor
2
5
⋅5
7⋅19⋅23
=19
160
19
=19.11875