Solve 41/42/43/44/45/46/47/48/49/40/(239)/(4) | 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

$$41/42/43/44/45/46/47/48/49/40/ \frac{ 239 }{ 4 }$$

Evaluate

$\frac{41}{43458411134476800}\approx 9.434307175 \cdot 10^{-16}$

Solution Steps

Divide $\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}}{40}$ by $\frac{239}{4}$ by multiplying $\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}}{40}$ by the reciprocal of $\frac{239}{4}$.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}\times 4}{40\times 239}$$

Express $\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}}{46}}{47}}{48}}{49}$ as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}}{46}}{47}}{48\times 49}\times 4}{40\times 239}$$

Express $\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}}{46}}{47}$ as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}}{46\times 47}}{48\times 49}\times 4}{40\times 239}$$

Express $\frac{\frac{\frac{\frac{41}{42}}{43}}{44}}{45}$ as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{\frac{41}{42}}{43}}{44\times 45}}{46\times 47}}{48\times 49}\times 4}{40\times 239}$$

Express $\frac{\frac{41}{42}}{43}$ as a single fraction.

$$\frac{\frac{\frac{\frac{\frac{41}{42\times 43}}{44\times 45}}{46\times 47}}{48\times 49}\times 4}{40\times 239}$$

Multiply $42$ and $43$ to get $1806$.

$$\frac{\frac{\frac{\frac{\frac{41}{1806}}{44\times 45}}{46\times 47}}{48\times 49}\times 4}{40\times 239}$$

Multiply $44$ and $45$ to get $1980$.

$$\frac{\frac{\frac{\frac{\frac{41}{1806}}{1980}}{46\times 47}}{48\times 49}\times 4}{40\times 239}$$

Express $\frac{\frac{41}{1806}}{1980}$ as a single fraction.

$$\frac{\frac{\frac{\frac{41}{1806\times 1980}}{46\times 47}}{48\times 49}\times 4}{40\times 239}$$

Multiply $1806$ and $1980$ to get $3575880$.

$$\frac{\frac{\frac{\frac{41}{3575880}}{46\times 47}}{48\times 49}\times 4}{40\times 239}$$

Multiply $46$ and $47$ to get $2162$.

$$\frac{\frac{\frac{\frac{41}{3575880}}{2162}}{48\times 49}\times 4}{40\times 239}$$

Express $\frac{\frac{41}{3575880}}{2162}$ as a single fraction.

$$\frac{\frac{\frac{41}{3575880\times 2162}}{48\times 49}\times 4}{40\times 239}$$

Multiply $3575880$ and $2162$ to get $7731052560$.

$$\frac{\frac{\frac{41}{7731052560}}{48\times 49}\times 4}{40\times 239}$$

Multiply $48$ and $49$ to get $2352$.

$$\frac{\frac{\frac{41}{7731052560}}{2352}\times 4}{40\times 239}$$

Express $\frac{\frac{41}{7731052560}}{2352}$ as a single fraction.

$$\frac{\frac{41}{7731052560\times 2352}\times 4}{40\times 239}$$

Multiply $7731052560$ and $2352$ to get $18183435621120$.

$$\frac{\frac{41}{18183435621120}\times 4}{40\times 239}$$

Express $\frac{41}{18183435621120}\times 4$ as a single fraction.

$$\frac{\frac{41\times 4}{18183435621120}}{40\times 239}$$

Multiply $41$ and $4$ to get $164$.

$$\frac{\frac{164}{18183435621120}}{40\times 239}$$

Reduce the fraction $\frac{164}{18183435621120}$ to lowest terms by extracting and canceling out $4$.

$$\frac{\frac{41}{4545858905280}}{40\times 239}$$

Multiply $40$ and $239$ to get $9560$.

$$\frac{\frac{41}{4545858905280}}{9560}$$

Express $\frac{\frac{41}{4545858905280}}{9560}$ as a single fraction.

$$\frac{41}{4545858905280\times 9560}$$

Multiply $4545858905280$ and $9560$ to get $43458411134476800$.

$$\frac{41}{43458411134476800}$$

Factor

$\frac{41}{2 ^ {9} \cdot 3 ^ {4} \cdot 5 ^ {2} \cdot 7 ^ {3} \cdot 11 \cdot 23 \cdot 43 \cdot 47 \cdot 239} = 9.43430717545804 \times 10^{-16}$