Question

1.345 convert into fraction . its a recurring decimal.​

Answer 1

Answer:

EXPRESS THE FOLLOWING RECURRING DECIMAL AS VULGAR FRACTION

1.345

Answer 2

Answer:

1.345 = 269

200

= 169

200

as a fraction

To convert the decimal 1.345 to a fraction, just follow these steps:

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

1.345 = 1.345

1

Step 2: 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,

1.345

1

= (1.345 × 1000)

(1 × 1000)

= 1345

1000

.

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(1345,1000) = 5. So,

(1345÷5)

(1000÷5)

= 269

200

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 1345

1000

is also equal to 169

200

when expressed as a mixed number.