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$-(5)/(4)+(75)/(40)+100%= Enter the answer as an exact decimal or simplified fraction.$

$-\frac{5}{4}+\frac{75}{40}+100 \%=$ $\newline$ Enter the answer as an exact decimal or simplified fraction.

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Math Problems

Algebra 1

Find the slope and intercepts from an equation

Full solution

-\frac{5}{4}+\frac{75}{40}+100 \%=

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Enter the answer as an exact decimal or simplified fraction.

Convert to fractions: Convert percentages to fractions. $100\%$ is equivalent to $1$ when converted to a fraction because $100\%$ means $100$ out of $100$ , which simplifies to $1$ .
Simplify fractions: Simplify the fractions. $\newline$ The fraction $(75)/(40)$ can be simplified. Both the numerator and the denominator are divisible by $5$ . $\newline$ $(75)/(40) = (75 \div 5) / (40 \div 5) = 15/8$
Find common denominator: Find a common denominator for the fractions. $\newline$ The fractions $-\frac{5}{4}$ and $\frac{15}{8}$ have different denominators. To add or subtract fractions, they must have the same denominator. The least common denominator (LCD) for $4$ and $8$ is $8$ .
Convert to same denominator: Convert the fractions to have the same denominator. $\newline$ The fraction $-\frac{5}{4}$ needs to be converted to have a denominator of $8$ . $\newline$ $-\frac{5}{4} = -\frac{5 \times 2}{4 \times 2} = -\frac{10}{8}$ $\newline$ Now we have $-\frac{10}{8}$ and $\frac{15}{8}$ .
Add fractions: Add the fractions with the common denominator. $\newline$ Now that both fractions have the same denominator, we can add them together. $\newline$ $-\frac{10}{8} + \frac{15}{8} = \frac{15 - 10}{8} = \frac{5}{8}$
Add to $1$ : Add the simplified fraction to $1$ . $\newline$ Now we add the fraction $\frac{5}{8}$ to $1$ (which is the decimal equivalent of $100\%$ ). $\newline$ $1 + \frac{5}{8} = \frac{8}{8} + \frac{5}{8} = \frac{13}{8}$
Convert to decimal: Convert the final fraction to a decimal (if necessary). $\newline$ The final answer as a fraction is $\frac{13}{8}$ . To convert it to a decimal, divide the numerator by the denominator. $\newline$ $13 \div 8 = 1.625$