How do you turn 0.46 into a fraction?

If you want to convert the decimal number 0.46 into a fraction, there is a simple process to follow. First, let's define what a fraction is. A fraction is a number that represents a part of a whole or a ratio between two numbers.

Now, to convert the decimal 0.46 into a fraction, we need to understand the place value of the digits. The decimal 0.46 has two digits after the decimal point, which means it is in the hundredths place.

Next, we can convert the decimal into a fraction by understanding the place value. Since 0.46 is in the hundredths place, the denominator of the fraction will be 100. The numerator of the fraction will be the number without the decimal point, which is 46 in this case.

So, to turn 0.46 into a fraction, we can write it as 46/100. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor.

By simplifying, we can see that 46 is divisible by 2. Therefore, we can divide both the numerator and denominator by 2, resulting in 23/50. So, 0.46 can be written as the fraction 23/50.

In conclusion, to convert 0.46 into a fraction, we can write it as 23/50. Remember that understanding the place value of the decimal is crucial in converting it into a fraction.

What is .46 as a fraction in simplest form?

.46 as a Fraction in Simplest Form

The number .46 can be expressed as a fraction in simplest form. To do this, we need to determine the equivalent fraction for the decimal number .46.

To convert a decimal to a fraction, we use the rule that the decimal places represent the denominator of the fraction. In this case, .46 has two decimal places, so the denominator will be 100.

We can write .46 as the fraction 46/100. However, this is not in simplest form because both the numerator and denominator can still be reduced further.

To simplify the fraction 46/100, we divide both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of 46 and 100 is 2.

Dividing 46 by 2 gives us 23, and dividing 100 by 2 gives us 50. Therefore, the simplified form of .46 as a fraction is 23/50.

So, .46 can be expressed as the fraction 23/50 in simplest form.

How do you turn 0.46 repeating into a fraction?

To turn 0.46 repeating into a fraction, we can first note that the "repeating" part means that the decimal digits continue indefinitely in a pattern. In this case, the repeating part is 46.

To convert the repeating decimal into a fraction, we can assign a variable to the repeating part. Let's call it x. So, x = 0.46 repeating.

Next, we can multiply both sides of the equation by a power of 10 to eliminate the decimal portion. Since there are two decimal places in 0.46, we can multiply both sides by 100 to get 100x = 46.46 repeating.

Now, we can subtract x from 100x to eliminate the repeating part. So, 100x - x = 46.46 repeating - 0.46 repeating. This simplifies to 99x = 46.

We can then divide both sides of the equation by 99 to solve for x. Thus, x = 46/99.

In summary, to turn 0.46 repeating into a fraction, we can express it as x = 46/99.

What is 0.45 as a fraction?

0.45 as a fraction is 45/100. To convert a decimal to a fraction, we can use the following steps:

  1. First, we write down the decimal as a fraction using the decimal place value. Since 0.45 has two decimal places, we write it as 45/100.
  2. Next, we simplify the fraction if possible. In this case, 45/100 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5. So we get 9/20.

Therefore, the fraction equivalent of 0.45 is 9/20.

What is 0.046 as a simplified fraction?

0.046 can be expressed as a simplified fraction. To find this fraction, we need to identify the relationship between the decimal number and its equivalent fraction.

First, let's break down the decimal number. 0 represents zero whole units, 0 in the tenths place, 4 in the hundredths place, and 6 in the thousandths place.

To determine the fraction, we consider the place value of the last significant digit, which in this case is the thousandths place. The number 6 is equivalent to the denominator of our fraction, since it represents the thousandths place value.

The numerator of the fraction will be the value of the decimal number without the decimal point. In this case, it is 46.

So, 0.046 can be simplified as 46/1000.

This fraction can be further reduced by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 2. Dividing both numbers by 2 gives us the simplified fraction of 23/500.

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