509,723 views
37 votes
37 votes
What is the answer to the following math question

What is the answer to the following math question-example-1
User Iva
by
2.9k points

2 Answers

18 votes
18 votes

Answer:


(35)/(18)

Explanation:

my suggestion on solving problems like this is to multiply by a fraction that equals "1" made up of the L.C.M of the fraction denominators (2,4,5 = 20)


(20)/(20) ..... the denominators will clear out leaving
(15 - 50)/(12-30) = (-35)/(-18)

= 35/18

User Chris Story
by
2.8k points
19 votes
19 votes


\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(3)/(4)and
    \sf(5)/(2)to fractions with denominator 4.


\huge \sf ((3)/(4)-(10)/(4))/((3)/(5)-(3)/(2)) \\

  • Because
    \sf(3)/(4)and
    \sf (10)/(4) have the same denominator, subtract them by subtracting their numerators.


\huge \sf((3-10)/(4))/((3)/(5)-(3)/(2)) \\

  • Subtract 10 from 3 to get -7.


\huge \sf(-(7)/(4))/((3)/(5)-(3)/(2)) \\

  • The least common multiple of 5 and 2 is 10. Convert
    \sf(3)/(5) and
    \sf (3)/(2) to fractions with denominator 10.


\huge \sf(-(7)/(4))/((6)/(10)-(15)/(10)) \\

  • Because
    \sf (6)/(10) and
    \sf (15)/(10) have the same denominator, subtract them by subtracting their numerators.


\huge \sf(-(7)/(4))/((6-15)/(10)) \\

  • Subtract 15 from 6 to get -9.


\huge \sf(-(7)/(4))/(-(9)/(10)) \\

  • Divide
    \sf-(7)/(4) by
    \sf-(9)/(10) by multiplying
    \sf-(7)/(4) by the reciprocal of
    \sf-(9)/(10).


\huge \sf-(7)/(4)\left(-(10)/(9)\right)

  • Multiply
    \sf-(7)/(4) by
    \sf-(10)/(9) by multiplying the numerator by the numerator and the denominator by the denominator.


\huge \sf(-7\left(-10\right))/(4* 9)

  • Carry out the multiplications in the fraction
    \sf(-7\left(-10\right))/(4* 9).


\huge \sf(70)/(36)

  • Reduce the fraction
    \sf(70)/(36) to its lowest terms by extracting and cancelling out 2.


\huge \boxed{ \bf(35)/(18)\approx 1.944..}

User Amir Koklan
by
2.9k points