simplify (5^3)/3-7(5)^2+48(5) — step-by-step solution

Let's simplify:

\frac{5^{3}}{3} - 7 \times 5^{2} + 48 \times 5

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

5^{3}

5 \times 5 \times 5

125

5^{2}

5 \times 5

25

■Multiplications are done before additions and subtractions:

48 \times 5

(40 + 8) \times 5

40 \times 5 + 8 \times 5

200 + 40

240

\frac{125}{3} - 7 \times 25 + 240

ⓘ Multiplications are done before additions and subtractions:

7 \times 25

7 \times (20 + 5)

7 \times 20 + 7 \times 5

140 + 35

175

\frac{125}{3} - 175 + 240

ⓘ To add fractions, put them over the same denominator, then add the numerators:

\frac{125}{3} - 175

\frac{125 - 175 \times 3}{3}

\frac{125 - 175 \times 3}{3} + 240

ⓘ Multiplications are done before additions and subtractions:

175 \times 3

(100 + 70 + 5) \times 3

100 \times 3 + 70 \times 3 + 5 \times 3

300 + 210 + 15

525

\frac{125 - 525}{3} + 240

ⓘ The numerator and the denominator are computed before the division:

125 - 525

-400

- \frac{400}{3} + 240

ⓘ To add fractions, put them over the same denominator, then add the numerators:

- \frac{400}{3} + 240

\frac{- 400 + 240 \times 3}{3}

\frac{- 400 + 240 \times 3}{3}

ⓘ Multiplications are done before additions and subtractions:

240 \times 3

(200 + 40) \times 3

200 \times 3 + 40 \times 3

600 + 120

720

\frac{- 400 + 720}{3}

ⓘ The numerator and the denominator are computed before the division:

- 400 + 720

320

▶Simplified form:

\frac{320}{3}

The numeric value of:

\frac{320}{3}

is:

▷

\approx 106.6667