Question

Evaluate the expression shown below and write your answer as a fraction in simplest form. 3 (-20 8 Answer: Submit Answer attempt 1 out of 2 O​

Answer 1

Answer:

$-\frac{1}{40}$

Step-by-step explanation:

To evaluate $-\frac{3}{8} - (-\frac{7}{20})$, start by opening the bracket.

When opening the bracket, we would be multiplying negative sign by negative sign, which equal positive sign.

Thus,

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

Solve further by performing addition operation to make both fractions one

The common denominator of 8 and 20 is 40,

$\frac{5(-3) +2(7)}{40}$

$\frac{-15 + 14}{40}$

$\frac{-1}{40} = -\frac{1}{40}$

Answer 2

The answer of given expression in simplest form is:     $\dfrac{-1}{40}$

The given expression is:

$-\dfrac{3}{8} - (-\dfrac{7}{20})$

Multiplying negative sign with negative sign will result in positive sign of the latter term.

The simplification will be done as follows:

$\\-\dfrac{3}{8} - (-\dfrac{7}{20})\\\\= -\dfrac{3}{8} + \dfrac{7}{20}\\\\=\dfrac{-3 \times 5 + 7 \times 2}{40}\\\\= -\dfrac{1}{40}$

In the above process, we the lcm of 8 and 20 was taken which is equal to 40.

Thus, the simplest form of the given expression is $\dfrac{-1}{40}$.

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