Thursday, December 26, 2024
HomeHealthWhat is 19.625/11304 ?

What is 19.625/11304 ?

To simplify the fraction 19.625/1130419.625/11304, we need to follow a few steps involving conversion 19.625/11304  and reduction. Let’s break down the process step by step.

Step 1: Convert the Decimal to a Fraction

The number 19.625 is a decimal, and we need to convert it to a fraction first.

19.625=19+0.62519.625 = 19 + 0.625

We know that:

0.625=62510000.625 = \frac{625}{1000}

To simplify 6251000\frac{625}{1000}, we find the greatest common divisor (GCD) of 625 and 1000.

GCD of 625 and 1000=125\text{GCD of 625 and 1000} = 125

625÷1251000÷125=58\frac{625 \div 125}{1000 \div 125} = \frac{5}{8}

So,

19.625=19+58=19×8+58=152+58=157819.625 = 19 + \frac{5}{8} = \frac{19 \times 8 + 5}{8} = \frac{152 + 5}{8} = \frac{157}{8}

Step 2: Form the Original Fraction

Now that we have 19.625 as a fraction, 1578\frac{157}{8}, we can form the original fraction:

157/811304\frac{157/8}{11304}

This can be rewritten as:

1578×11304=15790432\frac{157}{8 \times 11304} = \frac{157}{90432}

Step 3: Simplify the Fraction

Next, we simplify 15790432\frac{157}{90432}. We need to find the GCD of 157 and 90432 to reduce the 19.625/11304  fraction to its simplest form.

First, let’s check if 157 is a prime number. It is, as it has no divisors other than 1 and itself.

Next, we need to see if 157 divides 90432.

Since 157 does not divide 90432 evenly, the fraction 15790432\frac{157}{90432} is already in its simplest form.

Conclusion

The simplified form of the fraction 19.625/1130419.625/11304 is:

15790432\frac{157}{90432}

RELATED ARTICLES

Leave a reply

Please enter your comment!
Please enter your name here

Most Popular

Recent Comments