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Exploring 64 as a Fraction!

64 as a Fraction

A fraction is made up of two parts. The numerator is the number at the top of the line. It defines how many equal portions of the collection or whole are taken. The denominator is the number below the line. It indicates the number of equal parts into which one whole is divided.


64 is an even composite number. It is the result of one distinct prime number multiplied by itself 5 times. 64 has a total of 7 divisors. We can express it as 64/1 and also we can express the same as reducible fractions like: \[ \frac{128}{2} , \frac{192}{3} \] , etc.


Example

Question: Express 64 in reducible fractions.

Sol: We can express 64 in reducible fractions as follows:

\[ \frac{256}{4} , \frac{320}{5} , \frac{384}{6} \]

If we reduce all of the fractions above, the result will be 64.


How Do We Express 0.64 as a Fraction?

Let’s look at a problem


Question: How do you write 0.64 as a fraction?

Sol:

0.64 = (?)

= .641100100

= 64100

On simplifying this, we get 1625

So, 0.64 as a fraction equals to 16/25

Here,

  • 0.64 is a decimal.

  • \[ \frac{16}{25} \] is a fraction.


Steps Involved in Writing 0.64 as a Fraction

Step 1:

Take value only after the decimal point part for calculation.

0.64


Step 2:

Divide the value by 1.

\[ \frac{0.64}{1} \]


Step 3:

Multiply numerator and denominator by 100.

\[ \frac{0.64}{1} = \frac{0.64 \times 100}{1 \times 100} = \frac{64}{100} \]


Step 4:

To simplify this value in its lowest terms, we have to find the greatest common divisor for 64 and 100, which is 4.

\[ \frac{64 \div 4}{100 \div 4} \]


Step 5:

After simplification, reduce the fraction.

\[ \frac{16}{25} \]


How to Convert Decimal into Fractions?

Now, let us understand the steps to convert the decimal into fractions.

  • Write the decimal as itself divided by 1.

  • Multiply numerator & denominator by 100.

  • After simplification, reduce the fraction.


Conclusion

When it comes to working with different quantities, kids will be fairly comfortable. However, it's important that they learn how to convert a fractional quantity to a decimal or percentage. Conversion between fractions, decimals, and percentages is an important skill because it helps students understand what the quantities represent. It also makes visualizing and comparing fractions and percentages of numbers easier.

FAQs on Exploring 64 as a Fraction!

1. What is the relationship between fractions and decimals?

To build a strong foundation in mathematics, it's essential to understand the relationship between fractions and decimals. A fraction is a number represented in the form p/q, where p and q are whole numbers and q is not equal to 0. It can be converted to decimal form by changing the denominator to a power of 10 or using the long division method.

2. How to simplify fractions?

Reducing a fraction as simple as possible is what simplifying a fraction refers to. Work out the highest common factor to find the simplest form of a fraction quickly. A fraction could be simplified by reducing it to its simplest form. If the numerator and denominator of a fraction are co-prime or have no common factors other than one, it is said to be in its simplest form. The given fraction is equivalent to the simplest form of a fraction.

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