How to reduce (simplify) the common fraction 148/8 to its simplest equivalent form, irreducible? Result written as an improper fraction, as a mixed number, as a decimal number and as a percentage %

To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF

Factor both the numerator and the denominator, break them down to prime factors:

in the notation with exponents:


148 = 22 × 37


8 = 23

Calculate the prime factors of numbers, online calculator


Calculate the greatest common factor, GCF:

Multiply all the common prime factors, by the lowest exponents.


gcf (22 × 37; 23) = 22

Calculate the greatest common factor, GCF, online calculator


Divide both the numerator and the denominator by their greatest common factor, GCF:

148/8 =


(22 × 37)/23 =


((22 × 37) ÷ 22) / (23 ÷ 22) =


37/2

Positive improper fraction (numerator > denominator)
Rewrite the fraction:

As a mixed number (also called a mixed fraction):

Mixed number = a whole number and a proper fraction, of the same sign.


Proper fraction = numerator smaller than denominator.


37 ÷ 2 = 18 and remainder = 1 =>


37 = 18 × 2 + 1 =>


37/2 =


(18 × 2 + 1) / 2 =


18 + 1/2 =


18 1/2

As a decimal number:

18 1/2 =


18 + 1/2 =


18 + 1 ÷ 2 =


18.5

As a percentage:

18.5 =


18.5 × 100/100 =


1,850/100 =


1,850%

Convert fractions to percentages, online calculator


The final answer:
:: written in four ways ::

As a positive improper fraction (numerator > denominator):
148/8 = 37/2

As a mixed number
(a whole number and a proper fraction, of the same sign):
148/8 = 18 1/2

As a decimal number:
148/8 = 18.5

As a percentage:
148/8 = 1,850%

How to reduce (simplify) the common fraction: 154/15?


Writing numbers: point '.' used as a decimal mark;

Symbols: / fraction bar; ÷ divide; × multiply; + plus; = equal;

Reduce (simplify) ordinary fractions, online calculator

The latest fractions reduced to the lowest terms

715/3,332 already reduced (simplified) Oct 29 22:27 UTC (GMT)
148/8 = (148 ÷ 4)/(8 ÷ 4) = 37/2
Improper fraction, rewrite it as a mixed number:
37 ÷ 2 = 18 and remainder = 1 =>
37/2 = (18 × 2 + 1)/2 = 18 + 1/2 = 18 1/2
Oct 29 22:27 UTC (GMT)
610/1 already reduced (simplified) = 610 Oct 29 22:27 UTC (GMT)
1,393/484 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
1,393 ÷ 484 = 2 and remainder = 425 =>
1,393/484 = (2 × 484 + 425)/484 = 2 + 425/484 = 2 425/484
Oct 29 22:27 UTC (GMT)
112/99 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
112 ÷ 99 = 1 and remainder = 13 =>
112/99 = (1 × 99 + 13)/99 = 1 + 13/99 = 1 13/99
Oct 29 22:27 UTC (GMT)
63/99 = (63 ÷ 9)/(99 ÷ 9) = 7/11 Oct 29 22:27 UTC (GMT)
2,723/21 = (2,723 ÷ 7)/(21 ÷ 7) = 389/3
Improper fraction, rewrite it as a mixed number:
389 ÷ 3 = 129 and remainder = 2 =>
389/3 = (129 × 3 + 2)/3 = 129 + 2/3 = 129 2/3
Oct 29 22:27 UTC (GMT)
340/16 = (340 ÷ 4)/(16 ÷ 4) = 85/4
Improper fraction, rewrite it as a mixed number:
85 ÷ 4 = 21 and remainder = 1 =>
85/4 = (21 × 4 + 1)/4 = 21 + 1/4 = 21 1/4
Oct 29 22:27 UTC (GMT)
805/6,035 = (805 ÷ 5)/(6,035 ÷ 5) = 161/1,207 Oct 29 22:27 UTC (GMT)
2,475/1,008 = (2,475 ÷ 9)/(1,008 ÷ 9) = 275/112
Improper fraction, rewrite it as a mixed number:
275 ÷ 112 = 2 and remainder = 51 =>
275/112 = (2 × 112 + 51)/112 = 2 + 51/112 = 2 51/112
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58/3,426 = (58 ÷ 2)/(3,426 ÷ 2) = 29/1,713 Oct 29 22:27 UTC (GMT)
32/26 = (32 ÷ 2)/(26 ÷ 2) = 16/13
Improper fraction, rewrite it as a mixed number:
16 ÷ 13 = 1 and remainder = 3 =>
16/13 = (1 × 13 + 3)/13 = 1 + 3/13 = 1 3/13
Oct 29 22:27 UTC (GMT)
2,162/79 already reduced (simplified)
Improper fraction, rewrite it as a mixed number:
2,162 ÷ 79 = 27 and remainder = 29 =>
2,162/79 = (27 × 79 + 29)/79 = 27 + 29/79 = 27 29/79
Oct 29 22:27 UTC (GMT)
see more... reduced fractions

Fractions reducing to lower terms (simplifying). Equivalent fractions

Let's learn by an example, let's simplify the fraction: 12/16

  • Numerator of the fraction. The number that is above the fraction bar, 12, is called the numerator of the fraction;
  • Denominator of the fraction. The number that is below the fraction bar, 16, is called the denominator of the fraction;
  • The value of the fraction. Fraction 12/16 shows us in how many equal parts the number above the fraction bar, 12, is being divided: into 16 equal parts. Thus, the value of the fraction is calculated as:
  • 12 ÷ 16 = 0.75
  • We notice that the two numbers, the numerator and the denominator, are dividing themselves without any remainder by 2, so we divide them by the same number, 2:
  • 12/16 = (12 ÷ 2)/(16 ÷ 2) = 6/8
  • The value of the fraction 6/8 is calculated as:
  • 6 ÷ 8 = 0.75
  • We notice that the value of the fraction 6/8 is equal to that of the fraction 12/16, namely 0.75
  • Reduced (simplified) fraction, Equivalent fraction. The new fraction, 6/8, is equivalent to the original one, 12/16, that is, it represents the same value or proportion of the whole, and it was calculated out of the original fraction by reducing it (simplifying it): both the numerator and the denominator of the fraction were divided by the number 2.
  • Common factor (divisor). The number 2 that was used to divide the two numbers that make up the fraction is called a common factor or a divisor of the numerator and the denominator of the fraction.
  • Find all the divisors of a number or all the common factors of two numbers, online.
  • The reduced fraction has now a numerator that is equal to 6 and a denominator that is equal to 8.
  • We also notice that the two new numbers, the new numerator and the new denominator, 6 and 8, are also dividing themselves without any remainder by 2 (2 is a common factor of 6 and 8), so we divide them again by 2:
  • 6/8 = (6 ÷ 2)/(8 ÷ 2) = 3/4
  • The value of the fraction 3/4 is calculated as:
  • 3 ÷ 4 = 0.75
  • The new fraction, 3/4, is a reduced fraction (a simplified fraction) and an equivalent of the fractions 12/16 and 6/8
  • Irreducible fraction. Fraction 3/4 is also called an irreducible fraction, in another words it could no longer be reduced or simplified, it is in its simplest form, the numbers 3 and 4, the numerator and the denominator of the fraction, are coprime numbers (prime to each other), not having any common factors other than 1.
  • Reduce fractions to lower terms (simplify), online, with explanations.

... Read the rest of this article, here: How to reduce (simplify) common fractions?

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