Solve 5(13/11)-3/4(13/11)+4=1/3 | 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

$$5(13/11)-3/4(13/11)+4=1/3$$

Verify

$\text{false}$

Solution Steps

Express $5\times \frac{13}{11}$ as a single fraction.

$$\frac{5\times 13}{11}-\frac{3}{4}\times \frac{13}{11}+4=\frac{1}{3}$$

Multiply $5$ and $13$ to get $65$.

$$\frac{65}{11}-\frac{3}{4}\times \frac{13}{11}+4=\frac{1}{3}$$

Multiply $\frac{3}{4}$ times $\frac{13}{11}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{65}{11}-\frac{3\times 13}{4\times 11}+4=\frac{1}{3}$$

Do the multiplications in the fraction $\frac{3\times 13}{4\times 11}$.

$$\frac{65}{11}-\frac{39}{44}+4=\frac{1}{3}$$

Least common multiple of $11$ and $44$ is $44$. Convert $\frac{65}{11}$ and $\frac{39}{44}$ to fractions with denominator $44$.

$$\frac{260}{44}-\frac{39}{44}+4=\frac{1}{3}$$

Since $\frac{260}{44}$ and $\frac{39}{44}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{260-39}{44}+4=\frac{1}{3}$$

Subtract $39$ from $260$ to get $221$.

$$\frac{221}{44}+4=\frac{1}{3}$$

Convert $4$ to fraction $\frac{176}{44}$.

$$\frac{221}{44}+\frac{176}{44}=\frac{1}{3}$$

Since $\frac{221}{44}$ and $\frac{176}{44}$ have the same denominator, add them by adding their numerators.

$$\frac{221+176}{44}=\frac{1}{3}$$

Add $221$ and $176$ to get $397$.

$$\frac{397}{44}=\frac{1}{3}$$

Least common multiple of $44$ and $3$ is $132$. Convert $\frac{397}{44}$ and $\frac{1}{3}$ to fractions with denominator $132$.

$$\frac{1191}{132}=\frac{44}{132}$$

Compare $\frac{1191}{132}$ and $\frac{44}{132}$.

$$\text{false}$$