Perform the operation and simplify the answer fully.
1/5 ÷ 2/9
Perform the operation and simplify the answer fully.
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To perform the operation ( frac{1}{5} div frac{2}{9} ), you can rewrite the division as multiplication by the reciprocal. Here’s how to do it step-by-step:
1. Write the division as multiplication:
[
frac{1}{5} div frac{2}{9} = frac{1}{5} times frac{9}{2}
]
2. Multiply the numerators and the denominators:
[
= frac{1 times 9}{5 times 2} = frac{9}{10}
]
3. Simplification: The fraction ( frac{9}{10} ) is already in its simplest form since 9 and 10 have no common factors.
The final answer is:
[
frac{9}{10}
]
Great job working through this problem! If you need any more assistance, feel free to ask.
To perform the operation ( frac{1}{5} div frac{2}{9} ), you can multiply by the reciprocal of the second fraction.
1. Find the reciprocal of ( frac{2}{9} ), which is ( frac{9}{2} ).
2. Multiply the first fraction by this reciprocal:
[
frac{1}{5} times frac{9}{2} = frac{1 times 9}{5 times 2} = frac{9}{10}
]
So, the simplified answer is ( frac{9}{10} ).
If you have more questions or need further help, feel free to ask!