A fraction is a part of a whole, and fractions are necessary when dealing with portions and amounts that are not whole numbers. Fractions are a part of mathematics and science, as well as simple household functions such as cooking and making home repairs.Continue Reading
Measurement systems exist to easily define portions and amounts of things in daily life. Miles are simple measurements of distances, pounds quantify weights and masses, and cups help to measure portions of food. However, not all portions fall neatly into whole number measurements, and fractions provide the means of measuring these amounts. For example, a precise chemical mixture might require slightly less than an entire gram of a particular substance, perhaps only one-fourth of a gram. A biker might travel more than 3 miles but less than 4 miles, or 3 1/2 miles.
Fractions themselves are specific measurements. Rather than using ambiguous terminology like a pinch or a drop, fractions allow for specific divisions of a whole. Smaller divisions, like eighths or sixteenths, are useful for very tiny amounts, while fourths, thirds and halves help with larger divisions.
Applications such as cooking typically use fractions written out. However, scientific application of fractions more often displays fractions as decimals. Decimals provide a way of displaying fractions as base 10 numbers, like notating 1 1/2 as 1.5.Learn more about Arithmetic
To add fractions, ensure the bottom numbers (denominators) are the same, add the top numbers (numerators), keep the denominator, and simplify the fraction if needed. This process can be done by hand or by using a calculator.Full Answer >
To add fractions and whole numbers, convert a whole number into a fraction with the same denominator as the fraction that needs to be added. Add up the numerators and keep the denominator the same.Full Answer >
The benefits of using a calculator with a fraction button include the easy conversion of decimals to fractions and the use of mixed numbers without converting them to improper fractions. The option to use improper fractions is also a benefit, as well as the ability to perform algebraic fractions.Full Answer >
Common Core Standards identify three primary areas of focus for fourth-grade math: multi-digit multiplication and division involving multi-digit conclusions; fraction equivalence, adding and subtracting fractions with the same denominator and multiplying fractions by whole numbers; and understanding and classifying geometric figures by their properties. Fourth-graders work with large whole numbers, subtracting, adding, multiplying and dividing numbers up to 1,000,000. Students compare and order fractions to hundredths, use decimals through the hundredths and deal with conversions, such as ounces to pounds.Full Answer >