Solve 1/3 * l + 3/5 * m - 8 From | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$1 / 3 d + \frac { 3 } { 5 } m - 87 \sin ( 3 ) ( 1 / 5 ) \sin + 6$$

Evaluate

$\frac{d}{3}+\frac{3m}{5}-0.09518838918709446873954503632164132$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{3} d + \frac{3}{5} m - 87 \cdot 0.05233595624294383 {(\frac{1}{5})} 0.10452846326765346$$

Multiply $87$ and $0.05233595624294383$ to get $4.55322819313611321$.

$$\frac{1}{3}d+\frac{3}{5}m-4.55322819313611321\times \frac{1}{5}\times 0.10452846326765346$$

Convert decimal number $4.55322819313611321$ to fraction $\frac{455322819313611321}{10000000000}$. Reduce the fraction $\frac{455322819313611321}{10000000000}$ to lowest terms by extracting and canceling out $1$.

$$\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321}{100000000000000000}\times \frac{1}{5}\times 0.10452846326765346$$

Multiply $\frac{455322819313611321}{100000000000000000}$ times $\frac{1}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321\times 1}{100000000000000000\times 5}\times 0.10452846326765346$$

Do the multiplications in the fraction $\frac{455322819313611321\times 1}{100000000000000000\times 5}$.

$$\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321}{500000000000000000}\times 0.10452846326765346$$

Convert decimal number $0.10452846326765346$ to fraction $\frac{5226423163382673}{10000000000}$. Reduce the fraction $\frac{5226423163382673}{10000000000}$ to lowest terms by extracting and canceling out $1$.

$$\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321}{500000000000000000}\times \frac{5226423163382673}{50000000000000000}$$

Multiply $\frac{455322819313611321}{500000000000000000}$ times $\frac{5226423163382673}{50000000000000000}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321\times 5226423163382673}{500000000000000000\times 50000000000000000}$$

Do the multiplications in the fraction $\frac{455322819313611321\times 5226423163382673}{500000000000000000\times 50000000000000000}$.

$$\frac{1}{3}d+\frac{3}{5}m-\frac{2379709729677361718488625908041033}{25000000000000000000000000000000000}$$

Factor

$\frac{45000000000000000000000000000000000m+25000000000000000000000000000000000d-7139129189032085155465877724123099}{75000000000000000000000000000000000}$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{3} d + \frac{3}{5} m - 87 \cdot 0.05233595624294383 {(\frac{1}{5})} 0.10452846326765346$$

Multiply $87$ and $0.05233595624294383$ to get $4.55322819313611321$.

$$factor(\frac{1}{3}d+\frac{3}{5}m-4.55322819313611321\times \frac{1}{5}\times 0.10452846326765346)$$

Convert decimal number $4.55322819313611321$ to fraction $\frac{455322819313611321}{10000000000}$. Reduce the fraction $\frac{455322819313611321}{10000000000}$ to lowest terms by extracting and canceling out $1$.

$$factor(\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321}{100000000000000000}\times \frac{1}{5}\times 0.10452846326765346)$$

Multiply $\frac{455322819313611321}{100000000000000000}$ times $\frac{1}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$factor(\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321\times 1}{100000000000000000\times 5}\times 0.10452846326765346)$$

Do the multiplications in the fraction $\frac{455322819313611321\times 1}{100000000000000000\times 5}$.

$$factor(\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321}{500000000000000000}\times 0.10452846326765346)$$

Convert decimal number $0.10452846326765346$ to fraction $\frac{5226423163382673}{10000000000}$. Reduce the fraction $\frac{5226423163382673}{10000000000}$ to lowest terms by extracting and canceling out $1$.

$$factor(\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321}{500000000000000000}\times \frac{5226423163382673}{50000000000000000})$$

Multiply $\frac{455322819313611321}{500000000000000000}$ times $\frac{5226423163382673}{50000000000000000}$ by multiplying numerator times numerator and denominator times denominator.

$$factor(\frac{1}{3}d+\frac{3}{5}m-\frac{455322819313611321\times 5226423163382673}{500000000000000000\times 50000000000000000})$$

Do the multiplications in the fraction $\frac{455322819313611321\times 5226423163382673}{500000000000000000\times 50000000000000000}$.

$$factor(\frac{1}{3}d+\frac{3}{5}m-\frac{2379709729677361718488625908041033}{25000000000000000000000000000000000})$$

Factor out $\frac{1}{75000000000000000000000000000000000}$.

$$\frac{25000000000000000000000000000000000d+45000000000000000000000000000000000m-7139129189032085155465877724123099}{75000000000000000000000000000000000}$$