How do you express $7 3/5 + -4.8$ , as a simplified fraction?

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Answer 1 · 2016-05-13T18:45:35

$2 4/5" another way of writing this is "14/5$

Every step in the calculation is shown.

$color(brown)("Assumption: 4.8 is a decimal value")$

$color(blue)("Consider "4.8)$

This is the same $4+8/10$

Multiply 4 by 1 but in the form of $1=10/10$

$(4xx10/10)+8/10$

$=40/10+8/10 = 48/10$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~

$color(blue)("Consider "7 3/5)$

Multiply 7 by 1 in the form of $1=5/5$

$(7xx5/5)+3/5$

$35/5+3/5=38/5$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~
$color(blue)("Putting them together")$

$38/5-48/10" "color(red)("Correction "->+48/10" to "-48/10)$

Multiply $38/5$ by 1 in the form of $1=2/2$

$(38/5xx2/2)-48/10$

$76/10-48/10" "=" " 28/10$

$28-:10" "=" "2 +" remainder of "8$

So $28/10=2 4/5$

How do you express 7 3/5 + -4.8 7 3/5 + -4.8, as a simplified fraction?