Question

NEED HELP ASAP. I don not understand why I'm wrong. What is the right answer???

Answer 1

$\huge \boxed{\mathfrak{Question} \downarrow}$

• Simplify $\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } }$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } }$

• The least common multiple of 4 and 2 is 4. Convert $\sf\frac{3}{4}$and $\sf\frac{5}{2}$to fractions with denominator 4.

$\huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}}$

• Because $\sf\frac{3}{4}$and $\sf \frac{10}{4}$ have the same denominator, subtract them by subtracting their numerators.

$\huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}}$

• Subtract 10 from 3 to get -7.

$\huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}}$

• The least common multiple of 5 and 2 is 10. Convert $\sf\frac{3}{5}$ and $\sf \frac{3}{2}$ to fractions with denominator 10.

$\huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}}$

• Because $\sf \frac{6}{10}$ and $\sf \frac{15}{10}$ have the same denominator, subtract them by subtracting their numerators.

$\huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}}$

• Subtract 15 from 6 to get -9.

$\huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}}$

• Divide $\sf-\frac{7}{4}$ by $\sf-\frac{9}{10}$ by multiplying $\sf-\frac{7}{4}$ by the reciprocal of $\sf-\frac{9}{10}$.

$\huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right)$

• Multiply $\sf-\frac{7}{4}$ by $\sf-\frac{10}{9}$ by multiplying the numerator by the numerator and the denominator by the denominator.

$\huge \sf\frac{-7\left(-10\right)}{4\times 9}$

• Carry out the multiplications in the fraction $\sf\frac{-7\left(-10\right)}{4\times 9}$.

$\huge \sf\frac{70}{36}$

• Reduce the fraction $\sf\frac{70}{36}$ to its lowest terms by extracting and cancelling out 2.

$\huge \boxed{ \bf\frac{35}{18}\approx 1.944..}$

Answer 2

Answer:

Answer: 35/18

Step-by-step explanation:

$\frac{ \{ \frac{3}{4} - \frac{5}{2} \} }{ \{ \frac{3}{5} - \frac{3}{2} \}} = \frac{( - \frac{7}{4} )}{ (- \frac{9}{10} )} \\ \\ = \frac{7}{4} \div \frac{9}{10}$

use the reciprocal of 9/10 :

$= \frac{7}{4} \times \frac{10}{9} \\ \\ = \frac{35}{18}$