Is $ \frac{8}{9} $ the multiplicative inverse of $ -1 \frac{1}{8} $ ? Why or why not?
To do:
We have to find whether \( \frac{8}{9} \) is the multiplicative inverse of \( -1 \frac{1}{8} \).
Solution:
$-1\frac{1}{8} =-(1\frac{1}{8})$
$=-(\frac{1\times8+1}{8})$
$=-\frac{9}{8}$
We know that,
The multiplicative inverse of $\frac{a}{b}$ is $\frac{b}{a}$
Therefore,
The multiplicative inverse of $\frac{-9}{8}$ is $\frac{8}{-9}=\frac{-8}{9}$
$\frac{-8}{9}≠\frac{8}{9}$
Hence, $\frac{8}{9}$ is not the multiplicative inverse of $-1\frac{1}{8}$.
Related Articles
- Is \( 0.3 \) the multiplicative inverse of \( 3 \frac{1}{3} \) ? Why or why not?
- Is 0.3 the multiplicative inverse of 3$\frac{1}{3}$?
- Sum of $\frac {1}{8} + \frac{7}{8}$ is ___
- Find the multiplicative inverse of the following.(i) \( -13 \)(ii) \( \frac{-13}{19} \)(iii) \( \frac{1}{5} \)(iv) \( \frac{-5}{8} \times \frac{-3}{7} \)(v) \( -1 \times \frac{-2}{5} \)(vi) \( -1 \).
- Find the difference $\frac{5}{8} \ -\ \frac{1}{8} \ $
- Solve the following :$8\frac{1}{2} - 3\frac{5}{8}$
- Find the multiplicative inverse (reciprocal) of each of the following rational numbers:(i) 9(ii) \( -7 \)(iii) \( \frac{12}{5} \)(iv) \( \frac{-7}{9} \)(v) \( \frac{-3}{-5} \)(vi) \( \frac{2}{3} \times \frac{9}{4} \)(vii) \( \frac{-5}{8} \times \frac{16}{15} \)(viii) \( -2 \times \frac{-3}{5} \)(ix)-1 \)(x) \frac{0}{3} \)(xi) 1
- What is the sum of \( \frac{9}{8} \) and \( -\frac{11}{8} \)?
- Find the multiplicative inverse of the following.(i) -13(ii) \( \frac{-13}{19} \)(iii) \( \frac{1}{5} \)
- Simplify the following :$3 \frac{7}{9} + 5 \frac{7}{8} + 1 \frac{23}{24}$
- Draw number lines and locate the points on them:(a) \( \frac{1}{2}, \frac{1}{4}, \frac{3}{4}, \frac{4}{4} \)(b) \( \frac{1}{8}, \frac{2}{8}, \frac{3}{8}, \frac{7}{8} \)(c) \( \frac{2}{5}, \frac{3}{5}, \frac{8}{5}, \frac{4}{5} \)
- Which of the two rational numbers is greater in the given pair?1) $\frac{3}{8}$ or 02) $\frac{-2}{9}$ or 0
- Which of the following rational numbers is positive:$\frac{-37}{-38}, \frac{8}{-9}, \frac{-17}{8}, \frac{24}{-9}$
- Find the value of:$8\frac{1}{2} \ -\ 3\frac{5}{8}$  
- Fill in the blanks:(i) \( -4 \times \frac{7}{9}=\frac{7}{9} \times -4 \)(ii) \( \frac{5}{11} \times \frac{-3}{8}=\frac{-3}{8} \times\frac{5}{11} \)(iii) \( \frac{1}{2} \times\left(\frac{3}{4}+\frac{-5}{12}\right)=\frac{1}{2} \times(\frac{3}{4})+\frac{1}{2} \times \frac{-5}{12}\)(iv) $\frac{-4}{5} \times(\frac{5}{7} \times \frac{-8}{9})=(\frac{-4}{5} \times$____ ) $\times\frac{-8}{9}$
Kickstart Your Career
Get certified by completing the course
Get Started
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies