What is the answer to 2/5 k+2/3 =3 2/3 ?

The answer to 2/5 k+2/3 =3 2/3 is k=7 1/2

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2/5 k+2/3 =3 2/3

\frac{2}{5} k + \frac{2}{3} = 3 \frac{2}{3}

k = 7 \frac{1}{2}

Decimal Notation

k = 7.5

Solution steps

\frac{2}{5} k + \frac{2}{3} = 3 \frac{2}{3}

Convert mixed numbers to improper fractions:

3 \frac{2}{3} = \frac{11}{3}

\frac{2}{5} k + \frac{2}{3} = \frac{11}{3}

Move

\frac{2}{3}

to the right side

\frac{2}{5} k = 3

Multiply both sides by

5

2 k = 15

Divide both sides by

2

k = \frac{15}{2}

Convert improper fractions to mixed numbers:

\frac{15}{2} = 7 \frac{1}{2}

k = 7 \frac{1}{2}

2 x + 9 = 33

2 x + 9 = 23

\frac{1}{4} r - 4 = 20

45 = 9 x

x, - 5 y + 8 x = - 18

What is the answer to 2/5 k+2/3 =3 2/3 ?
The answer to 2/5 k+2/3 =3 2/3 is k=7 1/2
Solve for k: 2/5 k+2/3 =3 2/3
The solution is k=7 1/2