16] Divide 8/3+8/4 *
a) 3/4
b) 4/3
c) 64/12
Answers
Answer:
The reciprocal of
8
3
3
8
start fraction, 8, divided by, 3, end fraction is
3
8
8
3
start fraction, 3, divided by, 8, end fraction.
Therefore:
3
2
÷
8
3
=
3
2
×
3
8
2
3
÷
3
8
=
2
3
×
8
3
start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, start fraction, 3, divided by, 2, end fraction, times, start fraction, 3, divided by, 8, end fraction
=
3
×
3
2
×
8
2
3
×
8
3
=
2×8
3×3
empty space, equals, start fraction, 3, times, 3, divided by, 2, times, 8, end fraction
=
9
16
2
3
×
8
3
=
16
9
empty space, equals, start fraction, 9, divided by, 16, end fraction
Example 2: Mixed numbers
3
1
2
÷
1
1
4
=
3
2
1
÷1
4
1
=3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction, equals
Let's start by converting the mixed numbers to fractions.
3
1
2
÷
1
1
4
=3
2
1
÷1
4
1
empty space, 3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction
=
7
2
÷
5
4
=
2
7
÷
4
5
equals, start fraction, 7, divided by, 2, end fraction, divided by, start fraction, 5, divided by, 4, end fraction
=
7
2
⋅
4
5
Multiply by the reciprocal.
=
2
7
⋅
5
4
Multiply by the reciprocal.equals, start fraction, 7, divided by, 2, end fraction, dot, start fraction, 4, divided by, 5, end fraction, space, space, space, space, space, space, space, start text, M, u, l, t, i, p, l, y, space, b, y, space, t, h, e, space, r, e, c, i, p, r, o, c, a, l, point, end text
=
7
1
2
⋅
2
4
5
Simplify.
=
1
2
7
⋅
5
2
4
Simplify.equals, start fraction, 7, divided by, start color #11accd, 1, end color #11accd, start cancel, 2, end cancel, end fraction, dot, start fraction, start color #11accd, 2, end color #11accd, start cancel, 4, end cancel, divided by, 5, end fraction, space, space, space, space, space, space, space, start text, S, i, m, p, l, i, f, y, point, end text
=
7
1
⋅
2
5
=
1
7
⋅
5
2
equals, start fraction, 7, divided by, start color #11accd, 1, end color #11accd, end fraction, dot, start fraction, start color #11accd, 2, end color #11accd, divided by, 5, end fraction
=
14
5
or
2
4
5
=
5
14
or 2
5
4
equals, start fraction, 14, divided by, 5, end fraction, start text, space, o, r, space, end text, 2, start fraction, 4, divided by, 5, end fraction
Step-by-step explanation:
Fun fact
A rhinoceros horn is made of hair.