1000/64 Simplified

What is 1000/64 Simplified?

Answer: Fraction 1000/64 simplified to lowest terms is 125/8
1000
/
64
=
125
/
8

125/8 is the simplified fraction of 1000/64.

Since the numerator [1000] is greater than the denominator [64] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

125
/
8
=15
5
/
8

Simplifying Fraction 1000/64 using GCF

The first way to simplify the fraction 1000/64 is to use the Greatest Common Factor (GCF) of our numerator [1000] and denominator [64].

GCF of 1000 and 64 is 8

And then divide both the numerator [1000] and denominator [64] by the GCF [8].

1000 ÷ 8
/
64 ÷ 8
=
125
/
8

Simplifying Fraction 1000/64 using Prime Factors

Another method to reduce the fraction 1000/64 to its simplest form is to use the Prime Factors of numerator [1000] and denominator [64].

Now we can write down a new fraction expressed by its Prime Factors and cancel common factors in numerator and denominator:

2 × 2 × 2 × 5 × 5 × 5
/
2 × 2 × 2 × 2 × 2 × 2
=
125
/
8

Simplifying Fraction 1000/64 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [1000] and denominator [64] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a reminder.

1000 ÷ 2
/
64 ÷ 2
=
500
/
32
500 ÷ 2
/
32 ÷ 2
=
250
/
16
250 ÷ 2
/
16 ÷ 2
=
125
/
8

Fraction Simplification Table

FractionLowest Terms
1000/491000/49
1000/50
1000/511000/51
1000/52250/13
1000/531000/53
1000/54500/27
1000/55200/11
1000/56125/7
1000/571000/57
1000/58500/29
1000/591000/59
1000/60
1000/611000/61
1000/62500/31
1000/631000/63
125/8
1000/65200/13
1000/66500/33
1000/671000/67
1000/68250/17
1000/691000/69
1000/70
1000/711000/71
1000/72125/9
1000/731000/73
1000/74500/37
1000/75
1000/76250/19
1000/771000/77
1000/78500/39

Fraction Simplifier Calculator

This calculator will help you to simplify any fraction to its simplest form. For example, it can help you find out what is 1000/64 Simplified? (The answer is: 125/8). Enter the fraction (numerator and denominator) (e.g. '1000/64') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 1000/64) means reducing it to its simplest form. A fraction is considered simplified if its numerator and denominator have no common factors other than 1 (one).

FAQ

What is 1000/64 Simplified?

Fraction 1000/64 simplified to lowest terms is 125/8