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To convert 80 percent into a fraction, we start by understanding what the term ‘percent’ means. The word ‘percent’ means ‘per hundred.’ Therefore, 80 percent can be written as: 80% = 80/100 Next, we need to simplify this fraction. To simplify, we look for the greatest common divisor (GCD) of the numerator (80) and the … Read more

To calculate 5 raised to the power of 3, you need to understand what it means to ‘raise a number to a power’. In this case, 5 to the 3rd power, often written as 53, means you multiply the number 5 by itself a total of three times. This can be expressed as: 5 x … Read more

To convert the mixed number 2 1/4 into a decimal, you can follow these steps: Separate the whole number and the fraction: The mixed number consists of a whole part and a fractional part. Here, 2 is the whole number, and 1/4 is the fraction. Convert the fraction to a decimal: To convert 1/4 to … Read more

To express the whole number 63 as a fraction, you can simply write it with a denominator of 1. This is because any integer can be represented in fractional form by placing it over 1. Mathematically, this looks like: 63 = \(\frac{63}{1}\) In this form, the fraction conveys that there are 63 parts of a … Read more

To convert the fraction 2/7 into a decimal, we can perform long division. Here’s a step-by-step breakdown: Set up the division: We need to divide 2 by 7. Carry out the division: Since 2 is less than 7, we consider how many times 7 can fit into 2. It fits 0 times. So, we write … Read more

To express 8 divided by 12 as a fraction, you simply write it as: 8/12 This fraction represents the division of 8 by 12. To simplify the fraction, you should find the greatest common divisor (GCD) of the numerator (8) and the denominator (12). The GCD of 8 and 12 is 4. To simplify the … Read more

To understand the difference between prime and composite numbers, let’s first define each: Prime Numbers: These are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. In simpler terms, a prime number can only be divided evenly (without leaving a remainder) by 1 and the number itself. Composite Numbers: … Read more

To determine what 30 out of 90 is, we can express this as a fraction: 30 out of 90 can be written as 30/90. To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator (30) and the denominator (90). The GCD of 30 and 90 is 30. Now we … Read more

To determine what 3 out of 100 is, we can express it as a fraction or a percentage. In mathematical terms, ‘3 out of 100’ can be written as: Fraction: 3/100 Percentage: To convert the fraction into a percentage, we multiply by 100. So, (3/100) * 100 = 3%. In simple terms, this means that … Read more