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1-49.

Simplify the following expressions. Homework Help ✎

1. $−0.75−0.4$

Think about a number line. If you start at $−0.75$ and then move left $0.4$, where do you end up?

1. $\frac { 7 } { 8 } - \frac { 2 } { 3 }$

Find a common denominator.

$\frac{5}{24}$

1. $0.65−0.89$

Think of positive numbers as 'having' and negative numbers as 'owing.' In this case, you have $0.65$ but owe $0.89$. Will you end up 'having' or 'owing'? How much?

$−0.24$

1. $\frac { 11 } { 12 } + \frac { 4 } { 9 }$

Find a common denominator.

1. $\frac { 9 } { 10 } \cdot 2 \frac { 1 } { 3 }$

Change the mixed number to a fraction greater than one.

$\frac{21}{10} = 2\frac{1}{10}$

1. $12 \div \frac { 7 } { 8 }$

See (e).

1. $1 \frac { 2 } { 3 } + ( - \frac { 2 } { 5 } )$

Adding a negative number is the same as subtracting a positive number.

1. $\frac { 4 } { 7 } - ( - \frac { 3 } { 8 } )$

Subtracting a negative number is the same as adding a positive number.

$\frac{53}{56}$

1. $−4.05+3.18$

See (c).