Solve 1.8(-35/43)+0.7/(-35/43)=0.94 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

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Question

$$1.8(-35/43)+0.7/(-35/43)=0.94$$

Verify

$\text{false}$

Solution Steps

Fraction $\frac{-35}{43}$ can be rewritten as $-\frac{35}{43}$ by extracting the negative sign.

$$1.8\left(-\frac{35}{43}\right)+\frac{0.7}{\frac{-35}{43}}=0.94$$

Convert decimal number $1.8$ to fraction $\frac{18}{10}$. Reduce the fraction $\frac{18}{10}$ to lowest terms by extracting and canceling out $2$.

$$\frac{9}{5}\left(-\frac{35}{43}\right)+\frac{0.7}{\frac{-35}{43}}=0.94$$

Multiply $\frac{9}{5}$ times $-\frac{35}{43}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\left(-35\right)}{5\times 43}+\frac{0.7}{\frac{-35}{43}}=0.94$$

Do the multiplications in the fraction $\frac{9\left(-35\right)}{5\times 43}$.

$$\frac{-315}{215}+\frac{0.7}{\frac{-35}{43}}=0.94$$

Reduce the fraction $\frac{-315}{215}$ to lowest terms by extracting and canceling out $5$.

$$-\frac{63}{43}+\frac{0.7}{\frac{-35}{43}}=0.94$$

Divide $0.7$ by $\frac{-35}{43}$ by multiplying $0.7$ by the reciprocal of $\frac{-35}{43}$.

$$-\frac{63}{43}+\frac{0.7\times 43}{-35}=0.94$$

Multiply $0.7$ and $43$ to get $30.1$.

$$-\frac{63}{43}+\frac{30.1}{-35}=0.94$$

Expand $\frac{30.1}{-35}$ by multiplying both numerator and the denominator by $10$.

$$-\frac{63}{43}+\frac{301}{-350}=0.94$$

Reduce the fraction $\frac{301}{-350}$ to lowest terms by extracting and canceling out $7$.

$$-\frac{63}{43}-\frac{43}{50}=0.94$$

Least common multiple of $43$ and $50$ is $2150$. Convert $-\frac{63}{43}$ and $\frac{43}{50}$ to fractions with denominator $2150$.

$$-\frac{3150}{2150}-\frac{1849}{2150}=0.94$$

Since $-\frac{3150}{2150}$ and $\frac{1849}{2150}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{-3150-1849}{2150}=0.94$$

Subtract $1849$ from $-3150$ to get $-4999$.

$$-\frac{4999}{2150}=0.94$$

Convert decimal number $0.94$ to fraction $\frac{94}{100}$. Reduce the fraction $\frac{94}{100}$ to lowest terms by extracting and canceling out $2$.

$$-\frac{4999}{2150}=\frac{47}{50}$$

Least common multiple of $2150$ and $50$ is $2150$. Convert $-\frac{4999}{2150}$ and $\frac{47}{50}$ to fractions with denominator $2150$.

$$-\frac{4999}{2150}=\frac{2021}{2150}$$

Compare $-\frac{4999}{2150}$ and $\frac{2021}{2150}$.

$$\text{false}$$