What is the property to be used in the following:-
A. 3/5(35/24+10/27)
B. -2/53/4+5/7-3/41/5

Open in App

Solution

Dear student,
1. (3/5)(35/24+10/27)
=(3/5)(5/37/8+5/32/9)
=(3/5)(5/3)(7/8+2/9) [a(b+c)=ab+ac]
=1((63+16)/72)
= 79/72
2.(-2/5)(3/4)+(5/7)(-3/4)*(1/5)
=(3/4)[-2/5-(5/7)(1/5)]
=(3/4)[-2/5-1/7]
=(3/4)[(-14-5)/35]
=(3/4)(-19/35)
=-57/140
Regards

Suggest Corrections

Similar questions

Q. Name the property used in each of the following:

\frac{- 3}{2} + (\frac{1}{3} + \frac{4}{7}) = (\frac{- 3}{5} + \frac{1}{3}) + \frac{4}{7}

Q. Name the property under multiplication used in each of the following:
(i)

\frac{2}{3} \times \frac{4}{5} = \frac{4}{5} \times \frac{2}{3}

(ii)

(\frac{- 3}{4}) \times 1 = \frac{- 3}{4} = 1 \times (\frac{- 3}{4})

(iii)

(\frac{- 17}{28}) \times (\frac{- 28}{17}) = 1

(iv)

\frac{1}{5} \times (\frac{7}{8} \times \frac{4}{3}) = (\frac{1}{5} \times \frac{7}{8}) \times \frac{4}{3}

(v)

\frac{2}{7} \times (\frac{9}{10} + \frac{2}{5}) = \frac{2}{7} \times \frac{9}{10} + \frac{2}{7} \times \frac{2}{5}

Verify each of the following :

(i) $(\frac{5}{7} \times \frac{12}{13}) \times \frac{7}{18} = \frac{5}{7} \times (\frac{12}{13} \times \frac{7}{18})$
(ii) $\frac{- 13}{24} \times (\frac{- 12}{5} \times \frac{35}{36}) = (\frac{- 13}{24} \times \frac{- 12}{5}) \times \frac{35}{36}$
(iii) $(\frac{- 9}{5} \times \frac{- 10}{3}) \times \frac{21}{- 4} = \frac{- 9}{5} \times (\frac{- 10}{3} \times \frac{21}{- 4})$

Q. Write which property of an quality has been used in each of the following:

(1) 6 + 4 = 10 ∴ 5(6 + 4) = 5 × 10
(2) 9 - 11 − 2 ∴ 9 + 5 = (11 − 2) + 5
(3) 2 × 6 = 8 + 4 ∴

\frac{2 \times 6}{2} = \frac{8}{2} + \frac{4}{2}

(4) 5 + 4 = 18 ÷ 2 ∴ (5 + 4) − 7 = (18 ÷ 2) − 7

Simplify the following

(a) 12 + [{1 + (15 − 3)} × 4]

(b)

(c)

(d)

(e)

Join BYJU'S Learning Program

What is the property to be used in the following:- A. 3/5*(35/24+10/27) B. -2/5*3/4+5/7*-3/4*1/5

Dear student, 1. (3/5)*(35/24+10/27) =(3/5)*(5/3*7/8+5/3*2/9) =(3/5)*(5/3)(7/8+2/9) [a*(b+c)=a*b+a*c] =1((63+16)/72) = 79/72 2.(-2/5)*(3/4)+(5/7)*(-3/4)*(1/5) =(3/4)[-2/5-(5/7)(1/5)] =(3/4)[-2/5-1/7] =(3/4)[(-14-5)/35] =(3/4)(-19/35) =-57/140 Regards

What is the property to be used in the following:-
A. 3/5(35/24+10/27)
B. -2/53/4+5/7-3/41/5

Dear student,
1. (3/5)(35/24+10/27)
=(3/5)(5/37/8+5/32/9)
=(3/5)(5/3)(7/8+2/9) [a(b+c)=ab+ac]
=1((63+16)/72)
= 79/72
2.(-2/5)(3/4)+(5/7)(-3/4)*(1/5)
=(3/4)[-2/5-(5/7)(1/5)]
=(3/4)[-2/5-1/7]
=(3/4)[(-14-5)/35]
=(3/4)(-19/35)
=-57/140
Regards