Question

Simplify by combining like terms 4s + 1/6s + 2 3/5s. There’s supposed to be a whole number and a fraction for the answer. Please HELP!

Answer 1

Answer:

$6\dfrac{23}{30} s$

Step-by-step explanation:

The first step in simplying

$4s+\frac{1}{6}s +2\frac{3}{5}s$

is to bring the mixed number $2\frac{3}{5}s$ into the form of an improper fraction:

$2\dfrac{3}{5}s = (2+\frac{3}{5})s =(\frac{10}{5} +\frac{3}{5})s = \frac{13}{5}s$

Therefore, the expression now becomes

$4s+\frac{1}{6}s +\frac{13}{5}s$

and to simplify further we find the common denominator of the fractions which is

$6*5 =30$,

therefore,

$4s+\frac{5}{30}s +\frac{78}{30}s$

$\frac{120}{30} s+\frac{5}{30}s +\frac{78}{30}s$

add the numerator and get:

$\dfrac{203}{30} s$

as a mixed number this is

$6\dfrac{23}{30} s$

Thus,

$\boxed{4s+\frac{1}{6}s +2\frac{3}{5}s = 6\dfrac{23}{30} s}$