How do you subtract #-1\frac { 9} { 10} - 4\frac { 2} { 5}#?

Question

Eva Abramson · Accepted Answer

See a solution process below:

To subtract these two numbers we first need to convert the mixed numbers into improper fractions: #-1 9/10 - 4 2/5 => -(1 + 9/10) - (4 + 2/5) =># #-([10/10 xx 1] + 9/10) - ([5/5 xx 4] + 2/5) =># #-(10/10 + 9/10) - (20/5 + 2/5) =># #-19/10 - 22/5# Next, we need each fraction over a common denominator. We will multiply the fraction on the right by the appropriate form of #1#: #-19/10 - (2/2 xx 22/5) =># #-19/10 - 44/10# Then, we can subtract the numerators over the common denominator: #-19/10 - 44/10 => (-19 - 44)/10 =># #-63/10# Now, if necessary, we can convert the improper fraction into a mixed number: #-63/10 => -(60 + 3)/10 => -(60/10 + 3/10) => -(6 + 3/10) =># #-6 3/10#

Genesis Allen · Answer

undefined To subtract $ -1\frac { 9} { 10} $ from $ 4\frac { 2} { 5} $, we need to borrow from the whole number part.

$4\frac { 2} { 5} - 1\frac { 9} { 10} = (4 - 1) + \left(\frac {2} {5} - \frac {9} {10}\right)$

$= 3 + \left(\frac {4} {10} - \frac {9} {10}\right)$

$= 3 + \left(\frac {4 - 9} {10}\right)$

$= 3 + \left(\frac {-5} {10}\right)$

$= 3 - \frac {1} {2}$

So, the result is $3 - \frac {1} {2}$.

Jace Anderson · Answer

undefined The result of the subtraction -1\frac { 9} { 10} - 4\frac { 2} { 5} is -5\frac { 1} { 2}.