4 years ago

1. 1/8 + 5/6 =?

1 answer:

Ivan4 years ago

4 0

1)Find the lcd for 1/8+5/6
=2/24+5*4/24
since the denominators are equal, combine the fractions
=3+4*5/24
=23/24

2)Convert the mixed numbers to improper
=15/8*17/5
=255/40
=51/8
=6 3/8

3)1/9 divided by 3
1/3*9
=1/27

4) 2 3/5* 2 6/35
13/5*76/35
13*76/175
988/175
=5 113/175

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$\ln 4 -2 \ln x +5 \ln y$

Step-by-step explanation:

$\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y$