Solve 6/49*5/48*4/47*3/46*frac{2}{45}*frac{1}{44}=frac{1}{13983816}

$$\frac { 6 } { 49 } \cdot \frac { 5 } { 48 } \cdot \frac { 4 } { 47 } \cdot \frac { 3 } { 46 } \cdot \frac { 2 } { 45 } \cdot \frac { 1 } { 44 } = \frac { 1 } { 13983816 }$$

Verify

Solution Steps

Multiply \frac{6}{49} times \frac{5}{48} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 5}{49\times 48}\times \frac{4}{47}\times \frac{3}{46}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Do the multiplications in the fraction \frac{6\times 5}{49\times 48}.

$$\frac{30}{2352}\times \frac{4}{47}\times \frac{3}{46}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Reduce the fraction \frac{30}{2352} to lowest terms by extracting and canceling out 6.

$$\frac{5}{392}\times \frac{4}{47}\times \frac{3}{46}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Multiply \frac{5}{392} times \frac{4}{47} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 4}{392\times 47}\times \frac{3}{46}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Do the multiplications in the fraction \frac{5\times 4}{392\times 47}.

$$\frac{20}{18424}\times \frac{3}{46}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Reduce the fraction \frac{20}{18424} to lowest terms by extracting and canceling out 4.

$$\frac{5}{4606}\times \frac{3}{46}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Multiply \frac{5}{4606} times \frac{3}{46} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{4606\times 46}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Do the multiplications in the fraction \frac{5\times 3}{4606\times 46}.

$$\frac{15}{211876}\times \frac{2}{45}\times \frac{1}{44}=\frac{1}{13983816}$$

Multiply \frac{15}{211876} times \frac{2}{45} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 2}{211876\times 45}\times \frac{1}{44}=\frac{1}{13983816}$$

Do the multiplications in the fraction \frac{15\times 2}{211876\times 45}.

$$\frac{30}{9534420}\times \frac{1}{44}=\frac{1}{13983816}$$

Reduce the fraction \frac{30}{9534420} to lowest terms by extracting and canceling out 30.

$$\frac{1}{317814}\times \frac{1}{44}=\frac{1}{13983816}$$

Multiply \frac{1}{317814} times \frac{1}{44} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{317814\times 44}=\frac{1}{13983816}$$

Do the multiplications in the fraction \frac{1\times 1}{317814\times 44}.

$$\frac{1}{13983816}=\frac{1}{13983816}$$

Compare \frac{1}{13983816} and \frac{1}{13983816}.

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