70/40 Simplified

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What is 70/40 Simplified?

Answer

Fraction 70/40 simplified to lowest terms is 7/4
70
40
=
7
4

7/4 is the simplified fraction of 70/40.

Since the numerator [70] is greater than the denominator [40] of the fraction (it's called an improper fraction), so we can convert it into a mixed fraction with a whole number:

7
4
= 1
3
4

Simplifying Fraction 70/40 using GCF

The first way to simplify the fraction 70/40 is to use the Greatest Common Factor (GCF) of our numerator [70] and denominator [40].

GCF of 70 and 40 is 10

And then divide both the numerator [70] and denominator [40] by the GCF [10].

70 ÷ 10
40 ÷ 10
=
7
4

Simplifying Fraction 70/40 using Prime Factors

Another method to reduce the fraction 70/40 to its simplest form is to use the Prime Factors of numerator [70] and denominator [40].

Prime Factors of 70: 2,5,7

Prime Factors of 40: 2,2,2,5

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

2 × 5 × 7
2 × 2 × 2 × 5
=
7
4

Simplifying Fraction 70/40 by Dividing by the Smallest Possible Number

In order to simplify our fraction we can start dividing both the numerator [70] and denominator [40] by the smallest possible number (2,3,4,5... and so on), and repeat this until it is impossible to divide without a remainder.

70 ÷ 2
40 ÷ 2
=
35
20
35 ÷ 5
20 ÷ 5
=
7
4

Related Calculations

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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 70/40 Simplified? (The answer is: 7/4). Enter the fraction (numerator and denominator) (e.g. '70/40') and hit the 'Simplify' button.
Simplifying a fraction, (e.g. 70/40) 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).

Fraction Simplifier Calculator

Simplify the Fraction

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Fraction Simplification Table

Fraction Lowest Terms
70/25 14/5
70/26 35/13
70/27 70/27
70/28 5/2
70/29 70/29
70/30 7/3
70/31 70/31
70/32 35/16
70/33 70/33
70/34 35/17
70/35 2/1
70/36 35/18
70/37 70/37
70/38 35/19
70/39 70/39
70/40 7/4
70/41 70/41
70/42 5/3
70/43 70/43
70/44 35/22
70/45 14/9
70/46 35/23
70/47 70/47
70/48 35/24
70/49 10/7
70/50 7/5
70/51 70/51
70/52 35/26
70/53 70/53
70/54 35/27

FAQ

What is 70/40 Simplified?
Fraction 70/40 simplified to lowest terms is 7/4

How do you simplify 70/40?
70/40 simplified to lowest terms is 7/4. Divide both the numerator and denominator by their GCF (10).

What is the GCF of 70 and 40?
The Greatest Common Factor of 70 and 40 is 10.

See Also