Q&A for How to Square Fractions

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How do I solve 2 (1/3)?

Donagan

Top Answerer

Multiply the fraction's numerator by the whole number, and retain the denominator.

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Question

How do I use exponential notation for a fraction raised to a power?

Community Answer

Use parentheses around the fraction, and ^ to raise it to any power. For example: one third, squared: (1/3)^2.

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Question

How do I solve (3/16) divided by [(1/2+1/4)squared]?

Donagan

Top Answerer

(½ + ¼)² = (¾)² = 3² / 4² = 9/16. 3/16 divided by 9/16, which is the same as 3/16 multiplied by 16/9, which equals 48/144, which equals 1/3.

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How can I find square of a mixed fraction?

Donagan

Top Answerer

Convert the mixed number to an improper fraction. Then, square both the numerator and the denominator. The new fraction will be improper. You can convert it to a mixed number if you like.

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Question

Should the final answer be a fraction?

Donagan

Top Answerer

Yes, the square of a fraction is a fraction.

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Question

How do I calculate (1-4.4) 2 (to the power of 2)?

Community Answer

Do 1-4.4 (what's in the parentheses) first, which gives you -3.4. You would then change that into 3.4 squared, and to make it a fraction, you would do 34 over 10 [(34/10)^2]. Divide both the numerator and the denominator by 2, because it is squared. That leaves you with 17 over 5 (17/5). Bring down the squared to each part, so 17 squared over 5 squared. Do the math; you end up with 289 over 25 (289/25). Simplified, that gives you 11 and 14/25, or 11.56 in non-fraction form.

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How do I solve a fraction of 1/4 - 2?

Donagan

Top Answerer

That's 1/4 - 8/4 = -7/4 = -1¾.

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How do I solve an equation with six kinds of fractions?

Community Answer

If the denominators are different, find the LCM and solve.

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How do I find the square root of a mixed fraction?

Donagan

Top Answerer

Change the mixed number to an improper fraction. Then divide the square root of the numerator by the square root of the denominator.

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Question

What is the square of 6.25 as a mixed number?

Donagan

Top Answerer

6.25 = 6¼ = 25/4. (25/4)² = 25² / 4² = 625 / 16 = 39 1/16.

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Is the cube of a fraction greater than its square?

Donagan

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Yes, if it's an improper fraction.

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Question

How do I square and cube mixed numbers?

Donagan

Top Answerer

Convert the mixed number to an improper fraction. Then multiply the improper fraction by itself once (for squaring) or twice (for cubing).

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Question

How do I calculate the square of (2c/3 + 2/5)?

Donagan

Top Answerer

First simplify by factoring out a 2. Then multiply the result by itself: (2c/3 + 2/5)² = [2(c/3 + 1/5)]² = 2(c²/9 + 2c/15 + 1/25).

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Question

What is the square of 2 ¾?

Donagan

Top Answerer

2 ¾ equals 6/4 or 3/2. (3/2)² = 9/4 or 2¼.

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Question

How do I do (1/2)^-2?

Community Answer

(½)^(-2) = 2² = 4. A negative exponent calls for inverting the base number (in this case, ½ inverts to 2) and then raising that new number to the positive version of the exponent. Thus, x^(-n) = 1/x^n, or more pertinently in this case, (1/x)^(-n) = x^n.

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Question

What is the value of (¾)² + Root of 40/64?

Community Answer

(¾)² + √(40/64) = (9/16) + √(10/16) = (9/16) + (√10) / 4 = (9 + 4√10) / 16. You can leave the answer in that form, or you can further evaluate: (9 + 12.65) / 16 = 21.65 / 16 = 1.353.

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Question

What is (¾)² + root of (40/64)?

Community Answer

(¾)² + √(40/64) = 9/16 + (√40 / √64) = 9/16 + (2√10 / 8) = 9/16 + (4√10 / 16) = (9 + 4√10) / 16. You can leave the answer in that form or evaluate the square root: [9 + 4(3.16)] / 16 = (9 + 12.64) / 16 = 21.64 / 16 = 1.35.

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What if the exponent is negative?

Community Answer

A negative exponent indicates a reciprocal. For example, x^(-2) = 1 / x². Another example: 3^(-3) = 1 / 3³ = 1 / 27.

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Question

How do I get the square of 12/50?

Community Answer

It's easier if you reduce the fraction first: 12/50 = 6/25. Now square both the numerator and the denominator: 36/625. That fraction won't reduce.

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