Solve (5)/(6)OF((3)/(8)+(1)/(16)) | 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

$$\frac{ 5 }{ 6 } OF( \frac{ 3 }{ 8 } + \frac{ 1 }{ 16 } )$$

Evaluate

$\frac{35FO}{96}$

Solution Steps

Least common multiple of $8$ and $16$ is $16$. Convert $\frac{3}{8}$ and $\frac{1}{16}$ to fractions with denominator $16$.

$$\frac{5}{6}OF\left(\frac{6}{16}+\frac{1}{16}\right)$$

Since $\frac{6}{16}$ and $\frac{1}{16}$ have the same denominator, add them by adding their numerators.

$$\frac{5}{6}OF\times \frac{6+1}{16}$$

Add $6$ and $1$ to get $7$.

$$\frac{5}{6}OF\times \frac{7}{16}$$

Multiply $\frac{5}{6}$ times $\frac{7}{16}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{6\times 16}OF$$

Do the multiplications in the fraction $\frac{5\times 7}{6\times 16}$.

$$\frac{35}{96}OF$$

Expand

$\frac{35FO}{96}$

Solution Steps

Least common multiple of $8$ and $16$ is $16$. Convert $\frac{3}{8}$ and $\frac{1}{16}$ to fractions with denominator $16$.

$$\frac{5}{6}OF\left(\frac{6}{16}+\frac{1}{16}\right)$$

Since $\frac{6}{16}$ and $\frac{1}{16}$ have the same denominator, add them by adding their numerators.

$$\frac{5}{6}OF\times \frac{6+1}{16}$$

Add $6$ and $1$ to get $7$.

$$\frac{5}{6}OF\times \frac{7}{16}$$

Multiply $\frac{5}{6}$ times $\frac{7}{16}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 7}{6\times 16}OF$$

Do the multiplications in the fraction $\frac{5\times 7}{6\times 16}$.

$$\frac{35}{96}OF$$