Divide: (3
5 − 4
4 + 3
3 + 2) ÷ (
2 − 3)
Answers
Answer:
Dividing fractions is the same as multiplying by the reciprocal (inverse).
For example:
\dfrac34\goldD{\div}\dfrac{\blueD2}{\greenD3}
4
3
÷
3
2
start fraction, 3, divided by, 4, end fraction, start color #e07d10, divided by, end color #e07d10, start fraction, start color #11accd, 2, end color #11accd, divided by, start color #1fab54, 3, end color #1fab54, end fraction=\dfrac34\goldD{\times}\dfrac{\greenD3}{\blueD2}=
4
3
×
2
3
equals, start fraction, 3, divided by, 4, end fraction, start color #e07d10, times, end color #e07d10, start fraction, start color #1fab54, 3, end color #1fab54, divided by, start color #11accd, 2, end color #11accd, end fraction
Once we have a multiplication problem, we multiply the numerators then multiply the denominators.
Example 1: Fractions
\dfrac{3}{2} \div \dfrac{8}{3} = {?}
2
3
÷
3
8
=?start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, question mark
The reciprocal of \dfrac{8}{3}
3
8
start fraction, 8, divided by, 3, end fraction is \dfrac{3}{8}
8
3
start fraction, 3, divided by, 8, end fraction.
Therefore:
\dfrac{3}{2} \div \dfrac{8}{3} = \dfrac{3}{2} \times \dfrac{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
\phantom{\dfrac{3}{2} \times \dfrac{3}{8}} = \dfrac{3 \times 3}{2 \times 8}
2
3
×
8
3
=
2×8
3×3
empty space, equals, start fraction, 3, times, 3, divided by, 2, times, 8, end fraction
\phantom{\dfrac{3}{2} \times \dfrac{3}{8}} = \dfrac{9}{16}
2
3
×
8
3
=
16
9
Step-by-step explanation:
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