Solve 43/49*42/48*41/47*40/46*frac{39}{45}*frac{38}{44}

$$\frac { 43 } { 49 } \cdot \frac { 42 } { 48 } \cdot \frac { 41 } { 47 } \cdot \frac { 40 } { 46 } \cdot \frac { 39 } { 45 } \cdot \frac { 38 } { 44 }$$

Evaluate

$$\frac{435461}{998844}\approx 0.435964976$$

Solution Steps

Reduce the fraction \frac{42}{48} to lowest terms by extracting and canceling out 6.

$$\frac{43}{49}\times \frac{7}{8}\times \frac{41}{47}\times \frac{40}{46}\times \frac{39}{45}\times \frac{38}{44}$$

Multiply \frac{43}{49} times \frac{7}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{43\times 7}{49\times 8}\times \frac{41}{47}\times \frac{40}{46}\times \frac{39}{45}\times \frac{38}{44}$$

Do the multiplications in the fraction \frac{43\times 7}{49\times 8}.

$$\frac{301}{392}\times \frac{41}{47}\times \frac{40}{46}\times \frac{39}{45}\times \frac{38}{44}$$

Reduce the fraction \frac{301}{392} to lowest terms by extracting and canceling out 7.

$$\frac{43}{56}\times \frac{41}{47}\times \frac{40}{46}\times \frac{39}{45}\times \frac{38}{44}$$

Multiply \frac{43}{56} times \frac{41}{47} by multiplying numerator times numerator and denominator times denominator.

$$\frac{43\times 41}{56\times 47}\times \frac{40}{46}\times \frac{39}{45}\times \frac{38}{44}$$

Do the multiplications in the fraction \frac{43\times 41}{56\times 47}.

$$\frac{1763}{2632}\times \frac{40}{46}\times \frac{39}{45}\times \frac{38}{44}$$

Reduce the fraction \frac{40}{46} to lowest terms by extracting and canceling out 2.

$$\frac{1763}{2632}\times \frac{20}{23}\times \frac{39}{45}\times \frac{38}{44}$$

Multiply \frac{1763}{2632} times \frac{20}{23} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1763\times 20}{2632\times 23}\times \frac{39}{45}\times \frac{38}{44}$$

Do the multiplications in the fraction \frac{1763\times 20}{2632\times 23}.

$$\frac{35260}{60536}\times \frac{39}{45}\times \frac{38}{44}$$

Reduce the fraction \frac{35260}{60536} to lowest terms by extracting and canceling out 4.

$$\frac{8815}{15134}\times \frac{39}{45}\times \frac{38}{44}$$

Reduce the fraction \frac{39}{45} to lowest terms by extracting and canceling out 3.

$$\frac{8815}{15134}\times \frac{13}{15}\times \frac{38}{44}$$

Multiply \frac{8815}{15134} times \frac{13}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8815\times 13}{15134\times 15}\times \frac{38}{44}$$

Do the multiplications in the fraction \frac{8815\times 13}{15134\times 15}.

$$\frac{114595}{227010}\times \frac{38}{44}$$

Reduce the fraction \frac{114595}{227010} to lowest terms by extracting and canceling out 5.

$$\frac{22919}{45402}\times \frac{38}{44}$$

Reduce the fraction \frac{38}{44} to lowest terms by extracting and canceling out 2.

$$\frac{22919}{45402}\times \frac{19}{22}$$

Multiply \frac{22919}{45402} times \frac{19}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22919\times 19}{45402\times 22}$$

Do the multiplications in the fraction \frac{22919\times 19}{45402\times 22}.

$$\frac{435461}{998844}$$

Factor

$$\frac{13 \cdot 19 \cdot 41 \cdot 43}{2 ^ {2} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \cdot 47} = 0.4359649755116915$$