How do you evaluate $-5- - 4\frac { 1} { 4} + 3\frac { 1} { 4} + - 6$ ?

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Answer 1 · 2018-07-10T00:58:10

$-3 1/2$

Let's simplify the addition / subtraction signs first. Here's a simple rule,
BBC-Two signs

$-5- -4 1/4+3 1/4 + -6$
= $-5color(red)+4 1/4+3 1/4color(red) -6$

Next step is to convert all number to improper fractions to make adding and subtracting easy. We'll keep 4 as the denominator (number at the bottom).

= $-20/4+17/4+13/4 -24/4$

= $(-20+17+13-24)/4$

= $-14/4$

= $-3 2/4$ (convert to mixed fraction)

= $-3 1/2$ (simplify 2/4 to 1/2)

How do you evaluate -5- - 4\frac { 1} { 4} + 3\frac { 1} { 4} + - 6-5- - 4\frac { 1} { 4} + 3\frac { 1} { 4} + - 6?