Solved on Jan 17, 2024

Convert 6.25 to its simplest fraction form.

STEP 1

Assumptions
1. The decimal number to be converted to a fraction is 6.25.

STEP 2

Understand that every decimal number can be expressed as a fraction. The decimal 6.25 is equivalent to $6.25 over 1$ .
$\frac{6.25}{1}$

STEP 3

To eliminate the decimal point, we can multiply the numerator and the denominator by a power of 10 that is equal to the number of digits after the decimal point. In this case, there are two digits after the decimal point, so we will multiply by $10^2$ or 100.
$\frac{6.25 \times 100}{1 \times 100}$

STEP 4

Perform the multiplication to remove the decimal point.
$\frac{625}{100}$

STEP 5

Now, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

STEP 6

The GCD of 625 and 100 is 25.

STEP 7

Divide both the numerator and the denominator by the GCD to simplify the fraction to its lowest terms.
$\frac{625 \div 25}{100 \div 25}$

STEP 8

Perform the division.
$\frac{25}{4}$
The fraction in lowest terms for 6.25 is $\frac{25}{4}$ .

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Convert 6.25 to its simplest fraction form.

STEP 1

Assumptions
1. The decimal number to be converted to a fraction is 6.25.

STEP 2

Understand that every decimal number can be expressed as a fraction. The decimal 6.25 is equivalent to $6.25 over 1$ .
$\frac{6.25}{1}$

STEP 3

To eliminate the decimal point, we can multiply the numerator and the denominator by a power of 10 that is equal to the number of digits after the decimal point. In this case, there are two digits after the decimal point, so we will multiply by $10^2$ or 100.
$\frac{6.25 \times 100}{1 \times 100}$

STEP 4

Perform the multiplication to remove the decimal point.
$\frac{625}{100}$

STEP 5

Now, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

STEP 6

The GCD of 625 and 100 is 25.

STEP 7

Divide both the numerator and the denominator by the GCD to simplify the fraction to its lowest terms.
$\frac{625 \div 25}{100 \div 25}$

STEP 8

Perform the division.
$\frac{25}{4}$
The fraction in lowest terms for 6.25 is $\frac{25}{4}$ .

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Convert 6.25 to its simplest fraction form.

STEP 1

Assumptions1. The decimal number to be converted to a fraction is 6.25.

STEP 2

Understand that every decimal number can be expressed as a fraction. The decimal 6.25 is equivalent to 6.25over16.25 over 16.25over1.6.251\frac{6.25}{1}16.25​

STEP 3

STEP 4

Perform the multiplication to remove the decimal point.625100\frac{625}{100}100625​

STEP 5

Now, we need to simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

STEP 6

The GCD of 625 and 100 is 25.

STEP 7

Divide both the numerator and the denominator by the GCD to simplify the fraction to its lowest terms.625÷25100÷25\frac{625 \div 25}{100 \div 25}100÷25625÷25​

STEP 8

Perform the division.254\frac{25}{4}425​The fraction in lowest terms for 6.25 is 254\frac{25}{4}425​.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions
1. The decimal number to be converted to a fraction is 6.25.

Understand that every decimal number can be expressed as a fraction. The decimal 6.25 is equivalent to $6.25 over 1$ .
$\frac{6.25}{1}$

Perform the multiplication to remove the decimal point.
$\frac{625}{100}$

Divide both the numerator and the denominator by the GCD to simplify the fraction to its lowest terms.
$\frac{625 \div 25}{100 \div 25}$

Perform the division.
$\frac{25}{4}$
The fraction in lowest terms for 6.25 is $\frac{25}{4}$ .