3/7 is already in the simplest form. It can be written as 0.428571 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
- Find the GCD (or HCF) of numerator and denominator
GCD of 3 and 7 is 1 - Divide both the numerator and denominator by the GCD
3 ÷ 1/7 ÷ 1 - Reduced fraction: 3/7
Therefore, 3/7 simplified to lowest terms is 3/7.
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Equivalent fractions: 6/14 9/21 15/35 21/49
More fractions: 6/7 3/14 9/7 3/21 4/7 3/82/7 3/6
3 over 7 as a decimal. Use this simple calculator to simplify (reduce) 3 / 7 and turn it into a decimal.
- Click here for the opposite conversion
What is 3 / 7 simplified?
3⁄7 is already simplified
What is 3 / 7 as a decimal?
0.428571(repeating digits marked)
What is 3 / 7 as a mixed number?
3⁄7 = 0 3⁄7
What is 3 / 7 spelled out?
three sevenths
This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.
Spelled result in words is three sevenths.
Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.
Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.
Equivalent Fractions Calculator
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Here is the answer to questions like: 3/7 or What numbers are equivalent to 3/7?
This Equivalent Fractions Calculator will show you, step-by-step, equivalent fractions to any fraction you input.
See below the step-by-step solution on how to find equivalent fractions.
Two fractions are equivalent when they are both equal when written in lowest terms. The fraction 614 is equal to 37 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (37) by the same natural number, ie, multiply by 2, 3, 4, 5, 6 ...
Important: 37 looks like a fraction, but it is actually an improper fraction.
- 614 is equivalent to 37 because 3 × 27 × 2 = 614
- 921 is equivalent to 37 because 3 × 37 × 3 = 921
- 1228 is equivalent to 37 because 3 × 47 × 4 = 1228
- 1535 is equivalent to 37 because 3 × 57 × 5 = 1535
- and so on ...
At a glance, equivalent fractions look different, but if you reduce then to the lowest terms you will get the same value showing that they are equivalent. If a given fraction is not reduced to lowest terms, you can find other equivalent fractions by dividing both numerator and denominator by the same number.
Finding equivalent fractions can be ease if you use this rule:
Equivalent fractions definition: two fractions ab and cd are equivalent only if the product (multiplication) of the numerator (a) of the first fraction and the denominator (d) of the other fraction is equal to the product of the denominator (b) of the first fraction and the numerator (c) of the other fraction.
In other words, if you cross-multiply (ab and cd) the equality will remain, i.e, a.d = b.c. So, here are some examples:
- 614 is equivalent to 37 because 6 × 7 = 14 × 3 = 42
- 921 is equivalent to 37 because 9 × 7 = 21 × 3 = 63
- 1228 is equivalent to 37 because 12 × 7 = 28 × 3 = 84
This Equivalent Fractions Table/Chart contains common practical fractions. You can easily convert from fraction to decimal, as well as, from fractions of inches to millimeters.
1/64 | 0.015625 | 0.397 | |||||
2/64 | 1/32 | 0.03125 | 0.794 | ||||
3/64 | 0.046875 | 1.191 | |||||
4/64 | 2/32 | 1/16 | 0.0625 | 1.588 | |||
5/64 | 0.078125 | 1.984 | |||||
6/64 | 3/32 | 0.09375 | 2.381 | ||||
7/64 | 0.109375 | 2.778 | |||||
8/64 | 4/32 | 2/16 | 1/8 | 0.125 | 3.175 | ||
9/64 | 0.140625 | 3.572 | |||||
10/64 | 5/32 | 0.15625 | 3.969 | ||||
11/64 | 0.171875 | 4.366 | |||||
12/64 | 6/32 | 3/16 | 0.1875 | 4.763 | |||
13/64 | 0.203125 | 5.159 | |||||
14/64 | 7/32 | 0.21875 | 5.556 | ||||
15/64 | 0.234375 | 5.953 | |||||
16/64 | 8/32 | 4/16 | 2/8 | 1/4 | 0.25 | 6.35 | |
17/64 | 0.265625 | 6.747 | |||||
18/64 | 9/32 | 0.28125 | 7.144 | ||||
19/64 | 0.296875 | 7.541 | |||||
20/64 | 10/32 | 5/16 | 0.3125 | 7.938 | |||
21/64 | 0.328125 | 8.334 | |||||
22/64 | 11/32 | 0.34375 | 8.731 | ||||
23/64 | 0.359375 | 9.128 | |||||
24/64 | 12/32 | 6/16 | 3/8 | 0.375 | 9.525 | ||
25/64 | 0.390625 | 9.922 | |||||
26/64 | 13/32 | 0.40625 | 10.319 | ||||
27/64 | 0.421875 | 10.716 | |||||
28/64 | 14/32 | 7/16 | 0.4375 | 11.113 | |||
29/64 | 0.453125 | 11.509 | |||||
30/64 | 15/32 | 0.46875 | 11.906 | ||||
31/64 | 0.484375 | 12.303 | |||||
32/64 | 16/32 | 8/16 | 4/8 | 2/4 | 1/2 | 0.5 | 12.7 |
33/64 | 0.515625 | 13.097 | |||||
34/64 | 17/32 | 0.53125 | 13.494 | ||||
35/64 | 0.546875 | 13.891 | |||||
36/64 | 18/32 | 9/16 | 0.5625 | 14.288 | |||
37/64 | 0.578125 | 14.684 | |||||
38/64 | 19/32 | 0.59375 | 15.081 | ||||
39/64 | 0.609375 | 15.478 | |||||
40/64 | 20/32 | 10/16 | 5/8 | 0.625 | 15.875 | ||
41/64 | 0.640625 | 16.272 | |||||
42/64 | 21/32 | 0.65625 | 16.669 | ||||
43/64 | 0.671875 | 17.066 | |||||
44/64 | 22/32 | 11/16 | 0.6875 | 17.463 | |||
45/64 | 0.703125 | 17.859 | |||||
46/64 | 23/32 | 0.71875 | 18.256 | ||||
47/64 | 0.734375 | 18.653 | |||||
48/64 | 24/32 | 12/16 | 6/8 | 3/4 | 0.75 | 19.05 | |
49/64 | 0.765625 | 19.447 | |||||
50/64 | 25/32 | 0.78125 | 19.844 | ||||
51/64 | 0.796875 | 20.241 | |||||
52/64 | 26/32 | 13/16 | 0.8125 | 20.638 | |||
53/64 | 0.828125 | 21.034 | |||||
54/64 | 27/32 | 0.84375 | 21.431 | ||||
55/64 | 0.859375 | 21.828 | |||||
56/64 | 28/32 | 14/16 | 7/8 | 0.875 | 22.225 | ||
57/64 | 0.890625 | 22.622 | |||||
58/64 | 29/32 | 0.90625 | 23.019 | ||||
59/64 | 0.921875 | 23.416 | |||||
60/64 | 30/32 | 15/16 | 0.9375 | 23.813 | |||
61/64 | 0.953125 | 24.209 | |||||
62/64 | 31/32 | 0.96875 | 24.606 | ||||
63/64 | 0.984375 | 25.003 | |||||
64/64 | 32/32 | 16/16 | 8/8 | 4/4 | 2/2 | 1 | 25.4 |
Reference:
- [1] How to Find Equivalent Fractions
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