Question

Can u guys help me with this problem

Answer 1

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! :)