between which two of the following fraction will the decimal fraction 0.836 be
Answers
Answer:
i)
250
209
ii)
8
45
Step-by-step explanation:
Now,
(i) 0.836=
1000
836
=
4×250
4×209
=
250
209
.
(ii) 5.625=
1000
5625
=
125×8
125×45
=
8
45
.
Answer:
0.836 = 209
250
as a fraction
To convert the decimal 0.836 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.836 = 0.836
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,
0.836
1
= (0.836 × 1000)
(1 × 1000)
= 836
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(836,1000) = 4. So,
(836÷4)
(1000÷4)
= 209
250
when reduced to the simplest form.
Step-by-step explanation:
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