2/5 divided by 5/6 is? Express ur awnser in the simplest form. DIVIDING FRACTIONS! pls help right away and thx 🙂
The Correct Answer and Explanation is :
To divide fractions, you can use the “keep, change, flip” method. This means you keep the first fraction as it is, change the division sign to multiplication, and flip the second fraction (take its reciprocal). Here’s how to do it step by step for the problem ( \frac{2}{5} \div \frac{5}{6} ).
Step 1: Write the Problem
Start with the division of fractions:
[
\frac{2}{5} \div \frac{5}{6}
]
Step 2: Keep, Change, Flip
Now, keep the first fraction, change the division to multiplication, and flip the second fraction:
[
\frac{2}{5} \times \frac{6}{5}
]
Step 3: Multiply the Numerators and Denominators
Next, multiply the numerators together and the denominators together:
[
\text{Numerator: } 2 \times 6 = 12
]
[
\text{Denominator: } 5 \times 5 = 25
]
This gives us:
[
\frac{12}{25}
]
Step 4: Simplify the Fraction
Now we need to check if we can simplify ( \frac{12}{25} ). The numerator is 12, which factors into ( 2 \times 2 \times 3 ), and the denominator is 25, which factors into ( 5 \times 5 ). Since there are no common factors between the numerator and denominator, ( \frac{12}{25} ) is already in its simplest form.
Final Answer
Thus, the result of dividing ( \frac{2}{5} ) by ( \frac{5}{6} ) is:
[
\frac{12}{25}
]
Summary
In conclusion, dividing fractions involves keeping the first fraction, changing the division sign to multiplication, and flipping the second fraction. After multiplying the numerators and denominators, simplifying if possible gives you the final answer. In this case, ( \frac{2}{5} \div \frac{5}{6} ) simplifies to ( \frac{12}{25} ), which is the correct and simplest form of the result.