Write each percent as a decimal. 5 1/2%

Question

Accepted Answer

Hello. Today we're going to be rewriting the given percentage into its decimal notation. So what we are given is one and 250%. Now before we convert this into a decimal, let's go ahead and rewrite the given fraction as a decimal. So here we're given a whole and we can represent that hole in the ones place of any given decimal and we have the fraction 2/5. Now we can go ahead and rewrite this as a fraction with tenants denominator by multiplying the denominator by two and multiplying the numerator by two. So we can rewrite 2/5 as 4/10 and 4/10 can be represented by the decimal 0.4. So here we're going to have this decimal with three decimal places. Since we are given a hole in the original mixed fraction, we're going to put one in the ones place. And since we know that 4/10 or and 2/5 can be represented as 0.4, that means we're going to put .4 after the decimal place. So that means that 1.1 and 25% can be rewritten as 1.4%. Now that we have this in a simplified form. We can go ahead and convert this percentage into a decimal and any time you want to convert a percentage into a decimal, you're gonna want to divide that percent by 100, dividing 1.4 by 100 is going to move the decimal two units to the left and notice that when we move the decimal two units to the left, we're going to have some gaps in the decimal places. We can just go ahead and fill in those gaps with zero. And that means that if we divide 1.4% by 100 this is going to give us the decimal 0.014 and this is going to be the answer to this question. And with that being said, the overall solution is going to be be So. I hope this video helps you in understanding how to approach this problem and I'll go ahead and see you all in the next video.

Write each percent as a decimal. 5 1/2%

Key Concepts

Percentages

Converting Percentages to Decimals

Mixed Numbers

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