Relationship between fractions of the same family

Kids Math: Equivalent Fractions

relationship between fractions of the same family

Fractions, and all about converting them to and from decimal fractions. Fractions with the same lengths of period, fixed part or terminating part Retrograde Renegades and the Pascal Connection: Repeating Decimals Represented by. These pieces are called fractions, from the same Latin word (fractus, meaning “ broken”) that fracture comes from. Measurements with fractions can often be more precise: it is more exact to say The only difference between the two is in how they are written. . We hope you and your family enjoy the NEW Britannica Kids. When playing this game, try using more common fractions and equivalent fractions as a guide to placing fractions and decimals in the correct position.

Ask for one student as a volunteer. Tell your class that if that student was holding one of the halves and you were holding up a half of the same color, the two of you would be in the same fraction family.

Explain that together you would be called two halves.

Fraction Families | TACCLE 2

Explain that your family name would be Red Halves, or whatever color your construction paper is. Independent working time 20 minutes Tell students that they will be given a piece of a whole and they must find their family. When students find their family, they are to write down their names and their family name. Students also need to write that they are called two halves, three thirds, or four fourths. They must also write it in number form. A one hundredththe yellow portion, can also be divided into ten equal parts the blue section shows this.

History of Fractions

The blue portion is represents one thousandths of the whole, as of these thousands makes the whole. The following statements can be made: The red area is one tenth or zero point one 0.

relationship between fractions of the same family

A visual model for decimal fractions The following video uses a thousandths grid in a similar way, to demonstrate writing decimal fractions: It is written as or 0. It is easy to see that this shaded area is one half of the whole grid. This shaded area can also be broken up into 50 hundredths.

The fraction 50 hundredths is equivalent to thousandths. Furthermore, the shaded area in the video can be broken up into five tenths. To add or subtract uneven decimals, zeros may have to be added to one of the numbers.

For instance, to add 3. And in adding or subtracting, the decimal points must always be in a straight column. To perform this addition the numbers should be written thus: The same principles apply when subtracting decimals, and the operation is identical to subtracting whole numbers, except for the presence of the decimal point.

If the above problem were to be done as subtraction, it would appear in the same way; only the result would be different: Notice that the zero must be placed at the end of 7. Multiplying with decimals is no more difficult than with whole numbers, except for remembering the correct placement of the decimal point. The chief difference from addition and subtraction is that zeros do not have to be added to fill out a decimal fraction.

Comparing Fractions | Math Goodies

This is because the adding of zeros might well confuse the placement of the decimal point. There are certain rules to follow in multiplying with decimals that aid in correct placement of the decimal point. If a decimal is multiplied by a whole number, the number of decimal places in the product is the same as the number of decimal places in the number multiplied.

The problem of multiplying the decimal six-tenths 0. Note that the decimal point is placed before the 4 in the product, because there was only one decimal place in the number multiplied 0. If a whole number is multiplied by a decimal, the number of decimal places in the product is the same as the number of decimal places in the multiplier. Note that this is the reverse of Rule 1 but is exactly the same principle.

To multiply 32 by 2. Note again the placement of the decimal. There was only one decimal place in the multiplier 2.

relationship between fractions of the same family

In this case, however, the decimal can be eliminated, because 80 is a whole number. Had the multiplier been 2. If a decimal is multiplied by a decimal, the number of decimal places in the product is equal to the number of decimal places in the multiplier plus the number of decimal places in the number that is multiplied. If the multiplier and number multiplied together have a total of four decimal places, there will be four decimal places in the product. Any zeros at the end may, of course, be eliminated.

The problem of multiplying 0. The total shows four decimal places because the multiplier and number multiplied together had four decimal places. In multiplying mixed decimals, the same principle applies. The product of The process of dividing with decimals is the same as with whole numbers, but it is necessary to be especially careful of decimal point placement. In division there is one main point to remember: As in multiplication, certain rules are helpful.

If a decimal is divided by a whole number, the number of decimal places in the answer is the same as the number of decimal places in the decimal being divided. When a whole number is divided by a decimal, it is necessary first to convert the decimal to a whole number by moving the decimal point to the right.