Evaluate. (-2(1)/(4))^(2)=

Understand the Problem: Understand the problem. We need to find the square of the fraction -2(1)/(4), which means multiplying the fraction by itself. Convert to Improper Fraction: Convert the mixed number to an improper fraction. -2(1)/(4) can be written as -9/4 because -2 is the same as -8/4, and -8/4 + 1/4 equals -9/4. Square the Fraction: Square the improper fraction. (-9/4)^(2) means (-9/4) * (-9/4). Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. (-9) * (-9) = 81 and 4 * 4 = 16. Write Result as Fraction: Write down the result of the multiplication as a fraction. 81/16 is the result of squaring -9/4. Simplify if Possible: Simplify the fraction if possible. 81/16 cannot be simplified further because 81 and 16 have no common factors other than 1.

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Evaluate.

\newline

\left(-2 \frac{1}{4}\right)^{2}=

Understand the Problem: Understand the problem. $\newline$ We need to find the square of the fraction $-2\frac{1}{4}$ , which means multiplying the fraction by itself.
Convert to Improper Fraction: Convert the mixed number to an improper fraction. $\newline$ $-2\left(\frac{1}{4}\right)$ can be written as $-\frac{9}{4}$ because $-2$ is the same as $-\frac{8}{4}$ , and $-\frac{8}{4} + \frac{1}{4}$ equals $-\frac{9}{4}$ .
Square the Fraction: Square the improper fraction. $(-\frac{9}{4})^{2}$ means $(-\frac{9}{4}) \times (-\frac{9}{4})$ .
Multiply Numerators and Denominators: Multiply the numerators and the denominators separately. $\newline$ $(-9) \times (-9) = 81$ and $4 \times 4 = 16$ .
Write Result as Fraction: Write down the result of the multiplication as a fraction. $\frac{81}{16}$ is the result of squaring $-\frac{9}{4}$ .
Simplify if Possible: Simplify the fraction if possible. $\frac{81}{16}$ cannot be simplified further because $81$ and $16$ have no common factors other than $1$ .