Question

Simplify: (14/-15*10/21)+(-12/35*14/24)

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

Simplify: (14/-15*10/21)+(-12/35*14/24)

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$( - \frac{\cancel{{14}}}{15} \times \frac{10}{\cancel{{21}}} )+( - \frac{\cancel{{12}}}{35} \times \frac{14}{\cancel{{24}}} )$

$= > ( - \frac{2}{3} \times \frac{2}{3} ) + ( - \frac{1}{5} \times \frac{2}{2} )$

$= > ( - \frac{4}{6} ) + ( - \frac{2}{10} )$

$= > - \frac{2}{3} - \frac{1}{5} = \frac{ - 2 \times 5 - 1 \times 3}{15}$

=>L.C.M OF 3&5 IS 15

$\bold{ = \frac{ - 10 - 3}{15} = - \frac{13}{15}}$

$\huge\mathcal{Learn\:More:}$

• -13/15 is an integer
• -13/15 can also be written as -0.8666
• -13/15 is a rational number as it is in the form of p/q where q≠0

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Answer 2

Answer:

29/45 or -0.6444.... or 0.6 (approx.)

Step-by-step explanation:

(14/-15*10/21)+(-12/35*14/24)

= 14/-15*10/21-12/35*14/24

= 2/-3*2/3-1/5*2/2 (cross multiplication)

= (-4/9)+(-1/5)

after l.c.m, ((-4*5)+(-1/9))/45

= (-20-9)/45

= -29/45 or -0.6444.... or 0.6 (approx.)