$decimal to fraction equivalents$

$decimal to fraction equivalents$

Decimal to fraction equivalents how to#

Multiply both top and bottom by 10 for every number after the decimal point.For instance, 3.45 can be written as 3.45/1. This can be done by dividing the decimal by 1. We observe that if one digit moves one place left to right its value becomes one-tenth ($rac$. In other words, the value of a place is one-tenth of the value of the next place on its left. We know that each place in the place value table has a value ten times the value of the next place on its right. Help your children to understand that (common) fractions and decimal (fractions) have the same meaning – part of the whole.īefore we move ahead with the conversion of decimals into fractions, it is important to understand the composition of decimals in the place value system. In fact, decimal numbers are more correctly known as decimal fractions and fractions with numerators and denominators are, to give them a longer name, common fractions. 75/100 = 3/4.įractions and decimals are very similar. Next, simplify the fraction part to the lowest common term.Then, simplify the fraction by dividing both the numerator and denominator by their greatest common.

Decimal to fraction equivalents how to#

depending on the number of decimal places. How to convert decimals to fractions To convert a decimal to a fraction, write the decimal as a fraction with the decimal number as the numerator and a power of 10 as the denominator, depending on the number of digits after the decimal point. First, convert the decimal to fraction using tenths, hundredths, thousandths, etc.Decimal to fraction conversion is usually a two-step operation. Converting a Decimal to a FractionĪll decimal numbers can be expressed as a fraction. A whole one can be divided into 2 halves or 3 thirds or 4 quarters and so on. The whole may be a single object or a group of objects. This means that when one whole is divided into equal parts, each part is a fraction. The whole may be a single or a group of objects. What are Fractions?Ī fraction is a number representing a part of a whole. The whole part and the fractional part of a decimal are separated by a dot “. Steps to convert decimals into Fractionsĭecimals are a type of number in mathematics that consist of a whole part and a fractional part. We have found 14 NRICH Mathematical resources connected to Equivalent fractions, decimals and percentages, you may find related items under Fractions.Important points regarding simplification of fractions.Writing a Fraction in its Simplest Form.Comparing thousandth of decimal to its equivalent fraction.Comparing hundredth of decimal to its equivalent fraction.Comparing tenth of a decimal to its equivalent fraction.Comparing decimals and fractions on a number line.

$decimal to fraction equivalents$