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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q.424 (page 93)

In the following exercises,Perform the indicated operation, $a) \frac{- 3 y}{10} - \frac{5}{6}$ localid="1644496378905" $b) \frac{- 3 y}{10} . \frac{5}{6}$

Short Answer

Expert verified

The simplified value of the fraction is $\frac{- 3 y}{10} - \frac{5}{6} = \frac{- 9 y - 25}{30}$ and $\frac{- 3 y}{10} . \frac{5}{6} = \frac{- y}{4}$

Step by step solution

01

Step 1, Given information

a) The given fraction is $\frac{- 3 y}{10} - \frac{5}{6}$

b)The given fraction is $\frac{- 3 y}{10} . \frac{5}{6}$

02

Part (a) Step 1. Perform subtraction operation

The given fraction is $\frac{- 3 y}{10} - \frac{5}{6}$

$L C D = 30$

role="math" localid="1644061311853" $\frac{- 3 y}{10} - \frac{5}{6} = \frac{- 3 y 脳 3 - 5 脳 5}{30} = \frac{- 9 y - 25}{30}$

03

Part (a) Step 2. Conclusion

Hence, the simplified value is $\frac{- 9 y - 25}{30}$

04

Part (b) Step 1. Perform multiplication operation

The given expression is $\frac{- 3 y}{10} . \frac{5}{6} = \frac{- y . 1}{2.2} = \frac{- y}{4}$

05

Part (b) Step 2.conclusion

Hence the simplified value is $\frac{- 3 y}{10} . \frac{5}{6} = \frac{- y}{4}$

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