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pav-90 [236]
3 years ago
5

Express 960% as a mixed number

Mathematics
2 answers:
maksim [4K]3 years ago
8 0

Answer:

9 3/5

Step-by-step explanation:

When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100

With this, its just a matter of transforming the improper fraction to a mixed number.

100 fits 9 times in 960 so there will be 9 wholes

the remaining 60/100 can be simplified to 3/5 through this process:

60/100 = 6/10 = 3/5

lesya692 [45]3 years ago
3 0

Answer:

9 3/5

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

960% = 960/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,

(960÷20)/(100÷20) = 48/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 960/100 is also equal to 9 3/5 when expressed as a mixed number.

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