Which expression is equivalent to 3\dfrac78 - - id37866763998, marelinatalia2000

Ответ:

tymiahill7244

28.01.2022

$-2\dfrac{3}{8}$

Step-by-step explanation:

Given the expression:

$3\dfrac78 - 6\dfrac14$

We are to simplify and obtain an equivalent expression.

Step 1: Change to Improper Fractions

$3\dfrac78 - 6\dfrac14=\dfrac{31}{8}-\dfrac{25}{4}$

Step 2: Take the Lowest Common multiple of the denominators

LCM of 8 and 4 is 8.

Therefore:

$\dfrac{31}{8}-\dfrac{25}{4}=\dfrac{31-2(25)}{8}\\\\\dfrac{31-50)}{8}\\\\=-\dfrac{19}{8}\\\\=-2\dfrac{3}{8}$

Therefore, an equivalent expression to $3\dfrac78 - 6\dfrac14$ is $-2\dfrac{3}{8}$ .

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