Juan was presented the following problem on a math test divide 3/4 by 5/7 show your work his work is shown below what was Juan's error correct his work and state the correct quotient 5/7÷3/4=5/7•4/3=20/21
Mathematics · High School · Tue Nov 03 2020
Answered on
To divide fractions, get the reciprocal value of the second fraction. Multiply the numerators of both fraction then multiply the denominators of both fraction. Since the given is 3/4 by 5/7, get the reciprocal value of 5/7 then multiply the numerators and then the denominators of the fraction.
> 3/4 / 5/7
> 3/4 * 7/5
> 3 *7 / 4*5
> 21/20 or 1 1/20
The error in Juan's work is that he divided 5/7 by 3/4. Juan got confused in determining which one is the divisor and which one is the dividend.
The correct dividend is 3/4 and the correct divisor is 5/7 and the correct quotient is 21/20 or 1 1/20.