Taylor cuts 1/5 sheet of construction paper for an arts and crafts project. Write 1/5 as an equivalent fraction with the denominator shown. /10, /15, /25, /40

Verified Answer :

1                   2     2
-- multiply by -- = ---
5                   2     10

1                    3     3
-- multiply by -- = ---
5                    3    15

1                    5    5
-- multiply by -- = ---
5                    5    25

1                    8    8
-- multiply by -- = ---
5                    8    40

Answer:

\(\frac{1}{5}\ is\ equivalent\ to\ fraction\ with\ the\ denominator\ 10\ , 15\ , 25\ , 40\ are \frac{2}{10}\ , \frac{3}{15}\ , \frac{5}{25}\, \frac{8}{40}.\)

Step-by-step explanation:

As given

\(Taylor\ cuts\ \frac{1}{5}\ sheet\ of\ construction\ paper\ for\ an\ arts\ and\ crafts\ project.\)

Thus

\(= \frac{1}{5}\)

Multiply numerator and denominator by 2 .

Thus

\(\frac{1}{5}=\frac{1\times 2}{5\times 2}\)

\(\frac{1}{5}=\frac{2}{10}\)

Second case

\(= \frac{1}{5}\)

Multiply numerator and denominator by 3 .

Thus

\(\frac{1}{5}=\frac{1\times 3}{5\times 3}\)

\(\frac{1}{5}=\frac{3}{15}\)

Third case

\(= \frac{1}{5}\)

Multiply numerator and denominator by 5 .

Thus

\(\frac{1}{5}=\frac{1\times 5}{5\times 5}\)

\(\frac{1}{5}=\frac{5}{25}\)

Fourth

\(= \frac{1}{5}\)

Multiply numerator and denominator by 8 .

Thus

\(\frac{1}{5}=\frac{1\times 8}{5\times 8}\)

\(\frac{1}{5}=\frac{8}{40}\)

\(Therefore\ \frac{1}{5}\ is\ equivalent\ to\ fraction\ with\ the\ denominator\ 10\ , 15\ , 25\ , 40\ are \frac{2}{10}\ , \frac{3}{15}\ , \frac{5}{25}\, \frac{8}{40}.\)