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

Understand the problem: Understand the problem. We need to find the square of the fraction -1(1)/(4), which means multiplying the fraction by itself.Convert to improper fraction: Convert the mixed number to an improper fraction. -1(1)/(4) can be written as -5/4 because -1(1)/(4) = -1 - 1/4 = -4/4 - 1/4 = -5/4.Square the fraction: Square the improper fraction. (-5/4)^(2) means (-5/4) * (-5/4).Multiply numerators and denominators: Multiply the numerators and the denominators separately. (-5) * (-5) = 25 and 4 * 4 = 16.Write down the result: Write down the result of the squaring. 25/16 is the result of (-5/4)^(2).

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Math Problems

Grade 6

Multiply two decimals: where does the decimal point go?

Full solution

Q. Evaluate.

\newline

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

Understand the problem: Understand the problem. $\newline$ We need to find the square of the fraction $-\frac{1}{4}$ , which means multiplying the fraction by itself.
Convert to improper fraction: Convert the mixed number to an improper fraction. $\newline$ $-1\frac{1}{4}$ can be written as $-\frac{5}{4}$ because $-1\frac{1}{4} = -1 - \frac{1}{4} = -\frac{4}{4} - \frac{1}{4} = -\frac{5}{4}$ .
Square the fraction: Square the improper fraction. $\newline$ $(-\frac{5}{4})^{2}$ means $(-\frac{5}{4}) \times (-\frac{5}{4})$ .
Multiply numerators and denominators: Multiply the numerators and the denominators separately. $(-5) \times (-5) = 25$ and $4 \times 4 = 16$ .
Write down the result: Write down the result of the squaring. $\frac{25}{16}$ is the result of $(-\frac{5}{4})^{2}$ .