CPM Homework Help : MC2 Problem 11-24

CPM Homework Banner

Home > MC2 > Chapter 11 > Lesson 11.1.2 > Problem 11-24

11-24.

Simplify each expression.

$\frac { 3 } { 8 } + ( - \frac { 4 } { 6 } ) - \frac { 1 } { 3 }$
Hint (a):
Find a common denominator.
Step 1(a):
$\frac{9}{24} + (- \frac{16}{24}) - \frac{8}{24}$
Step 2(a):
$\frac{9 - 16 - 8}{24} = \frac{-15}{24}$
Can this fraction be further reduced?

$- \frac { 5 } { 7 } + \frac { 4 } { 9 } - ( - \frac { 2 } { 3 } )$
Hint (b):
See part (a).
Answer (b):
$\frac{25}{63}$

$\frac { 2 } { 5 } \cdot \frac { 3 } { 8 } - \frac { 3 } { 4 }$
Hint (c):
Use the order of operations.
Step 1(c):
$\frac{6}{40} - \frac{3}{4}$
Step 2(c):
$\frac{6}{40} - \frac{30}{40}$
Answer (c):
$\frac{6-30}{40} = \frac{-24}{40} = \frac{-3}{5}$

$- \frac { 6 } { 11 } + ( - \frac { 2 } { 3 } ) - \frac { 5 } { 6 }$
Hint (d):
See part (a).

$- \frac { 2 } { 3 } \cdot 2 \frac { 1 } { 4 } \cdot \frac { 3 } { 4 }$
Hint (e):
Convert the mixed number
into a fraction greater than
one before simplifying.
Help (e):
$- \frac{2}{3} ( \frac{9}{4} ) ( \frac{3}{4} )$
Answer (e):
$- \frac{54}{48} = - \frac{9}{8}$

$\frac { 5 } { 7 } + ( - \frac { 1 } { 3 } ) - ( - \frac { 1 } { 2 } )$
Hint (f):
See part (a).

© 2022 CPM Educational Program. All rights reserved.