The quoient of 5/31 divided by 15/23 , reduced to lowest fraction is
B. 23/93
C. 75/373
D. 93/23 or 4 1/23
I choose D
5/31 * 23/15 = (5*23)/(5*3*31) = 23/93
Looks like (B) to me
( 5 / 31 ) / ( 15 / 23 ) =
5 * 23 / ( 15 * 31 ) =
5 * 23 / ( 5 * 3 * 31 ) =
23 / ( 3 * 31 ) =
23 / 93
Answer B
To find the quotient of two fractions, we need to divide the numerator of the first fraction by the numerator of the second fraction and divide the denominator of the first fraction by the denominator of the second fraction. In this case, we have:
(5/31) ÷ (15/23)
To divide fractions, we need to remember that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the division as a multiplication:
(5/31) × (23/15)
Now, we can multiply the numerators (5 × 23) and the denominators (31 × 15):
= (5 × 23)/(31 × 15)
= 115/465
To reduce this fraction to its lowest terms, we need to find the greatest common divisor (GCD) of both the numerator and the denominator. In this case, the GCD of 115 and 465 is 5. We can divide both numbers by 5:
= (115 ÷ 5)/(465 ÷ 5)
= 23/93
So, the quotient of 5/31 divided by 15/23, reduced to lowest fraction, is 23/93. Therefore, the correct answer is B.