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igor_vitrenko [27]
2 years ago
11

Can u guys help me with this problem

Mathematics
1 answer:
netineya [11]2 years ago
8 0

Answer:

-0.7 or -\frac{7}{10}

Step-by-step explanation:

-0.75-(-\frac{2}{5})+0.4+(-\frac{3}{4})

The opposite of -\frac{2}{5} is \frac{2}{5}

-0.75 + \frac{2}{5} +0.4 - \frac{3}{4}

Convert decimal number −0.75 to fraction -\frac{75}{100}.

​Reduce the fraction-\frac{75}{100} to lowest terms by extracting and canceling out 25.

-\frac{3}{4} + \frac{2}{5}+0.4-\frac{3}{4}

Least common multiple of 4 and 5 is 20. Convert -\frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

-\frac{15}{20}+ \frac{8}{20} +0.4 - \frac{3}{4}

Since -\frac{15}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

\frac{-15 +8}{20} +0.4-\frac{3}{4}

Add -15 and 8 to get -7

-\frac{7}{20}+0.4-\frac{3}{4}

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

-\frac{7}{20}+\frac{2}{5}-\frac{3}{4}

Least common multiple of 20 and 5 is 20. Convert -\frac{7}{20} and \frac{2}{5} to fractions with denominator 20.

-\frac{7}{20}+\frac{8}{20}-\frac{3}{4}

Since -\frac{7}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

20-7+8-\frac{3}{4}

Add -7 and 8 to get 1.

\frac{1}{20}-\frac{3}{4}

Least common multiple of 20 and 4 is 20. Convert \frac{1}{20} and \frac{3}{4} to fractions with denominator 20.

\frac{1}{20}-\frac{15}{20}

Since \frac{1}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

\frac{1}{20}-15

Subtract 15 from 1 to get -14.

20-14

Reduce the fraction -\frac{14}{20} to lowest terms by extracting and canceling out 2.

-\frac{7}{10} or -0.7

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

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