Answer:
[tex]-0.7[/tex] or [tex]-\frac{7}{10}[/tex]
Step-by-step explanation:
[tex]-0.75-(-\frac{2}{5})+0.4+(-\frac{3}{4})[/tex]
The opposite of [tex]-\frac{2}{5}[/tex] is [tex]\frac{2}{5}[/tex]
[tex]-0.75 + \frac{2}{5} +0.4 - \frac{3}{4}[/tex]
Convert decimal number −0.75 to fraction [tex]-\frac{75}{100}[/tex].
Reduce the fraction[tex]-\frac{75}{100}[/tex] to lowest terms by extracting and canceling out 25.
[tex]-\frac{3}{4} + \frac{2}{5}+0.4-\frac{3}{4}[/tex]
Least common multiple of 4 and 5 is 20. Convert [tex]-\frac{3}{4}[/tex] and [tex]\frac{2}{5}[/tex] to fractions with denominator 20.
[tex]-\frac{15}{20}+ \frac{8}{20} +0.4 - \frac{3}{4}[/tex]
Since [tex]-\frac{15}{20}[/tex] and [tex]\frac{8}{20}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{-15 +8}{20} +0.4-\frac{3}{4}[/tex]
Add -15 and 8 to get -7
[tex]-\frac{7}{20}+0.4-\frac{3}{4}[/tex]
Convert decimal number 0.4 to fraction [tex]\frac{4}{10}[/tex]. Reduce the fraction [tex]\frac{4}{10}[/tex] to lowest terms by extracting and canceling out 2.
[tex]-\frac{7}{20}+\frac{2}{5}-\frac{3}{4}[/tex]
Least common multiple of 20 and 5 is 20. Convert [tex]-\frac{7}{20}[/tex] and [tex]\frac{2}{5}[/tex] to fractions with denominator 20.
[tex]-\frac{7}{20}+\frac{8}{20}-\frac{3}{4}[/tex]
Since [tex]-\frac{7}{20}[/tex] and [tex]\frac{8}{20}[/tex] have the same denominator, add them by adding their numerators.
[tex]20-7+8-\frac{3}{4}[/tex]
Add -7 and 8 to get 1.
[tex]\frac{1}{20}-\frac{3}{4}[/tex]
Least common multiple of 20 and 4 is 20. Convert [tex]\frac{1}{20}[/tex] and [tex]\frac{3}{4}[/tex] to fractions with denominator 20.
[tex]\frac{1}{20}-\frac{15}{20}[/tex]
Since [tex]\frac{1}{20}[/tex] and [tex]\frac{15}{20}[/tex] have the same denominator, subtract them by subtracting their numerators.
[tex]\frac{1}{20}-15[/tex]
Subtract 15 from 1 to get -14.
[tex]20-14[/tex]
Reduce the fraction [tex]-\frac{14}{20}[/tex] to lowest terms by extracting and canceling out 2.
[tex]-\frac{7}{10}[/tex] or [tex]-0.7[/tex]
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
