Find the simplest value of 5
3
2
×2
6
1
−2
3
1
- A9
18
17
- B8
18
17
- C7
18
13
- D9
20
17
Solution & Step-by-step Explanation
Convert the mixed fractions into improper fractions:
5
3
2
=
3
5×3+2
=
3
17
2
6
1
=
6
2×6+1
=
6
13
2
3
1
=
3
2×3+1
=
3
7
Now, substitute these into the given expression following BODMAS rules (multiplication first):
Expression=(
3
17
×
6
13
)−
3
7
Expression=
18
221
−
3
7
To perform subtraction, make the denominators equal by multiplying the numerator and denominator of
3
7
by 6:
3
7
=
3×6
7×6
=
18
42
Now subtract:
Expression=
18
221
−
18
42
=
18
179
Convert back to a mixed fraction:
18
179
=9
18
17
5
3
2
=
3
5×3+2
=
3
17
2
6
1
=
6
2×6+1
=
6
13
2
3
1
=
3
2×3+1
=
3
7
Now, substitute these into the given expression following BODMAS rules (multiplication first):
Expression=(
3
17
×
6
13
)−
3
7
Expression=
18
221
−
3
7
To perform subtraction, make the denominators equal by multiplying the numerator and denominator of
3
7
by 6:
3
7
=
3×6
7×6
=
18
42
Now subtract:
Expression=
18
221
−
18
42
=
18
179
Convert back to a mixed fraction:
18
179
=9
18
17