Question

Convert the following decimals into fractions in lowest form.
a) 0.007
b) 2.345​

Answer 1

Answer:

a) 7/1000

b)2345

I think these are the answers

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Answer 2

i) 7/1000

ii) 2.345 = 469200 = 269200 as a fraction To convert the decimal 2.345 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

Write down the number as a fraction of one:2.345 = 2.345

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

Multiply both top and bottom by 10 for every number after the decimal point:As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

Multiply both top and bottom by 10 for every number after the decimal point:As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,2.3451 = (2.345 × 1000)(1 × 1000) = 23451000.

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(2345,1000) = 5. So,

 Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2345,1000) = 5. So,(2345÷5)(1000÷5) = 469200 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 23451000 is also equal to 269200 when expressed as a mixed number.