Answer:
Here are the solutions for subtracting the mixed fractions and fractions:
7
2
3
−
2
5
7
3
2
−
5
2
First, find a common denominator. The common denominator for 3 and 5 is 15.
7
⋅
5
3
⋅
5
−
2
⋅
3
5
⋅
3
=
35
15
−
6
15
3⋅5
7⋅5
−
5⋅3
2⋅3
=
15
35
−
15
6
Now, subtract the fractions with the same denominator:
35
−
6
15
=
29
15
15
35−6
=
15
29
Now, we have an improper fraction. You can express it as a mixed fraction:
1
14
15
1
15
14
So,
7
2
3
−
2
5
=
1
14
15
7
3
2
−
5
2
=1
15
14
9
6
8
−
1
4
9
8
6
−
4
1
Again, find a common denominator. The common denominator for 8 and 4 is 8.
9
⋅
8
8
−
1
⋅
2
4
⋅
2
=
72
8
−
2
8
8
9⋅8
−
4⋅2
1⋅2
=
8
72
−
8
2
Now, subtract the fractions with the same denominator:
72
−
2
8
=
70
8
8
72−2
=
8
70
Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
70
÷
2
8
÷
2
=
35
4
8÷2
70÷2
=
4
35
Now, express it as a mixed fraction:
8
3
4
8
4
3
So,
9
6
8
−
1
4
=
8
3
4
9
8
6
−
4
1
=8
4
3
8 \frac{9/10 - 2/3}
First, find a common denominator for
9
10
10
9
and
2
3
3
2
. The common denominator for 10 and 3 is 30.
9
⋅
3
10
⋅
3
−
2
⋅
10
3
⋅
10
=
27
30
−
20
30
10⋅3
9⋅3
−
3⋅10
2⋅10
=
30
27
−
30
20
Now, subtract the fractions with the same denominator:
27
−
20
30
=
7
30
30
27−20
=
30
7
So,
8
9
10
−
2
3
=
8
7
30
8
10
9
−
3
2
=8
30
7
Explanation: