the answer is:
51 4/7
expnation :
so,
192×387=?
19
2
×
38
7
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
19×382×7=72214
19
×
38
2
×
7
=
722
14
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 722 and 14 using
GCF(722,14) = 2
722÷214÷2=3617
722
÷
2
14
÷
2
=
361
7
The fraction
3617
361
7
is the same as
361÷7
361
÷
7
Convert to a mixed number using
long division for 361 ÷ 7 = 51R4, so
3617=5147
361
7
=
51
4
7
Therefore:
192of387=5147
19
2
of
38
7
=
51
4
7
Solution by Formulas
"of" is the same as multiplication so, Apply the fractions formula for multiplication, to
192×387
19
2
×
38
7
and solve
19×382×7
19
×
38
2
×
7
=72214
=
722
14
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(722,14) = 2
722÷214÷2=3617
722
÷
2
14
÷
2
=
361
7
Convert to a mixed number using
long division for 361 ÷ 7 = 51R4, so
3617=5147
361
7
=
51
4
7
Therefore:
192of387=5147so,
192×387=?
19
2
×
38
7
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
19×382×7=72214
19
×
38
2
×
7
=
722
14
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 722 and 14 using
GCF(722,14) = 2
722÷214÷2=3617
722
÷
2
14
÷
2
=
361
7
The fraction
3617
361
7
is the same as
361÷7
361
÷
7
Convert to a mixed number using
long division for 361 ÷ 7 = 51R4, so
3617=5147
361
7
=
51
4
7
Therefore:
192of387=5147
19
2
of
38
7
=
51
4
7
Solution by Formulas
"of" is the same as multiplication so, Apply the fractions formula for multiplication, to
192×387
19
2
×
38
7
and solve
19×382×7
19
×
38
2
×
7
=72214
=
722
14
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(722,14) = 2
722÷214÷2=3617
722
÷
2
14
÷
2
=
361
7
Convert to a mixed number using
long division for 361 ÷ 7 = 51R4, so
3617=5147
361
7
=
51
4
7
Therefore:
192of387=5147
, and its volume is 
. We also know that the area of the larger figure is 
; since we don't now its volume, lets represent it with 
:
; therefore, the correct answer is a.