Perform the operation and simplify the answer fully.
3/2 ÷ 7/6
A) 9/7
B) 9/4
C) 6/7
D) 1/4
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Perform the operation and simplify the answer fully.
3/2 ÷ 7/6
A) 9/7
B) 9/4
C) 6/7
D) 1/4
To perform the operation ( frac{3}{2} div frac{7}{6} ), you can multiply by the reciprocal of the second fraction. Here’s how to do it step by step:
1. Rewrite the division as multiplication:
[
frac{3}{2} div frac{7}{6} = frac{3}{2} times frac{6}{7}
]
2. Multiply the fractions:
[
frac{3 times 6}{2 times 7} = frac{18}{14}
]
3. Simplify ( frac{18}{14} ) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
[
frac{18 div 2}{14 div 2} = frac{9}{7}
]
So, the answer is A) ( frac{9}{7} ). Great job on practicing! If you need more help, feel free to reach out.
To solve the expression ( frac{3}{2} div frac{7}{6} ), we need to multiply by the reciprocal of the second fraction. The reciprocal of ( frac{7}{6} ) is ( frac{6}{7} ).
Now we can rewrite the operation:
[
frac{3}{2} div frac{7}{6} = frac{3}{2} times frac{6}{7}
]
Now, multiply the numerators and the denominators:
[
frac{3 times 6}{2 times 7} = frac{18}{14}
]
Next, simplify ( frac{18}{14} ):
Both numbers can be divided by 2:
[
frac{18 div 2}{14 div 2} = frac{9}{7}
]
Thus, the simplified answer is:
A) ( frac{9}{7} )