$\frac{7}{4}-1.76=$ $\newline$ Enter the answer as an exact decimal or simplified fraction.

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Algebra 1

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\frac{7}{4}-1.76=

\newline

Enter the answer as an exact decimal or simplified fraction.

Convert Decimal to Fraction: Convert the decimal $1.76$ to a fraction. $\newline$ To subtract the decimal from the fraction, it's easier to work with both numbers in the same format. Convert $1.76$ to a fraction by recognizing that it is $1$ and $76$ hundredths. $\newline$ $1.76 = 1 + 0.76 = 1 + \frac{76}{100}$ $\newline$ Now simplify the fraction $\frac{76}{100}$ . $\newline$ $\frac{76}{100}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $76 \div 4 = 19$ $\newline$ $100 \div 4 = 25$ $\newline$ So, $1.76$ as a fraction is $1.76$ $1$ .
Express $1$ as Fraction: Express $1$ as a fraction with the same denominator as $\frac{19}{25}$ . To combine $1$ with $\frac{19}{25}$ , we need to express $1$ as a fraction with the same denominator, which is $25$ . $1 = \frac{25}{25}$ Now we can add this to $\frac{19}{25}$ . $1 + \frac{19}{25} = \frac{(25 + 19)}{25} = \frac{44}{25}$ So, $1.76$ as a fraction is $\frac{19}{25}$ $0$ .
Subtract Fractions: Subtract the fraction equivalent of $1.76$ from $\frac{7}{4}$ . Now we have two fractions: $\frac{7}{4}$ and $\frac{44}{25}$ . To subtract them, we need a common denominator. The least common multiple of $4$ and $25$ is $100$ . Convert $\frac{7}{4}$ to a fraction with a denominator of $100$ . $(\frac{7}{4}) \times (\frac{25}{25}) = \frac{175}{100}$ Convert $\frac{44}{25}$ to a fraction with a denominator of $100$ . $\frac{7}{4}$ $2$ Now subtract the two fractions. $\frac{7}{4}$ $3$