Solve 9/85/4=1/411/3

$$\frac{ 9 }{ 8 } \frac{ 5 }{ 4 } = \frac{ 1 }{ 4 } \frac{ 11 }{ 3 }$$

Verify

Solution Steps

Multiply \frac{9}{8} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 5}{8\times 4}=\frac{1}{4}\times \frac{11}{3}$$

Do the multiplications in the fraction \frac{9\times 5}{8\times 4}.

$$\frac{45}{32}=\frac{1}{4}\times \frac{11}{3}$$

Multiply \frac{1}{4} times \frac{11}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45}{32}=\frac{1\times 11}{4\times 3}$$

Do the multiplications in the fraction \frac{1\times 11}{4\times 3}.

$$\frac{45}{32}=\frac{11}{12}$$

Least common multiple of 32 and 12 is 96. Convert \frac{45}{32} and \frac{11}{12} to fractions with denominator 96.

$$\frac{135}{96}=\frac{88}{96}$$

Compare \frac{135}{96} and \frac{88}{96}.

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