Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction.
A. 245/1152
B. 4/10
C. 2/5
D. 42/48
7/24 * 48/35 = 2/5
The decimal form 1.46 becomes _______ expressed as a percent
To divide fractions, we first invert the second fraction (the divisor) and then multiply the two fractions.
The given fractions are 7/24 and 35/48.
So, we have (7/24) / (35/48).
Inverting the second fraction, we get (7/24) * (48/35).
Now multiply the numerators and the denominators: 7 * 48 = 336 and 24 * 35 = 840.
Therefore, the product of the numerators is 336 and the product of the denominators is 840.
So, the final fraction is 336/840.
This fraction can be reduced to the lowest terms by dividing both numerator and denominator by their greatest common divisor, which is 168.
Dividing both numerator and denominator by 168, we get (336/168) / (840/168) = 2/5.
Therefore, the reduced quotient of (7/24) / (35/48) is 2/5.
Hence, the answer is C. 2/5.
To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by flipping the numerator and the denominator.
So, to divide 7/24 by 35/48, you multiply 7/24 by 48/35.
7/24 * 48/35 = (7 * 48) / (24 * 35) = 336 / 840
Now, to reduce the resulting fraction to the lowest terms, you need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
The GCD of 336 and 840 is 168. By dividing both the numerator and the denominator by 168, we get:
336 / 840 = (336 ÷ 168) / (840 ÷ 168) = 2 / 5.
Therefore, the reduced quotient of 7/24 divided by 35/48 is 2/5.
So, the correct answer is option C: 2/5.