Fraction for All : The Beginner's Guide To Master Fraction

Explore how a pizza story shows halves and quarters, teaching fractions like one over two and one over four, and highlight fractions in daily life.

Define a fraction as part of a whole, with numerator and denominator. Show three over four and three out of ten, and note the denominator must be greater than zero.

Explore proper, improper, and mixed fractions: proper has a smaller numerator than denominator; improper has numerator; mixed combines a whole number with a fraction, converting improper fractions to mixed form.

Convert improper fractions to mixed fractions by dividing numerator by denominator, using the quotient as the whole and the remainder over the same denominator.

Learn an alternative method to convert improper fractions to mixed numbers, with examples like 27/5 and 7/3, and see how five plus two over five aids addition.

Convert mixed fractions to improper fractions using the formula: whole times denominator plus numerator over the denominator, with emphasis on multiplication and mental practice.

Discover how equivalent fractions share the same value, shown with 1/2, 2/4, and 3/6. Multiplying or dividing numerator and denominator by the same number yields equivalent fractions.

Learn a quick cross-multiplication trick to determine if two fractions are equivalent, illustrated with examples like 1/3 and 3/9, and 2/3 and 14/21.

Learn how to simplify fractions to their lowest form by removing all common factors, using both stepwise and single-step division, with examples like 36/54 reducing to 2/3.

Explore like and unlike fractions, defined by the same denominator. Learn how equal denominators simplify comparison, and how reducing to lowest form can affect whether fractions are like.

visualize fractions with the same denominator to see that bigger numerators yield larger fractions; compare ascending and descending orders and distinguish proper from improper fractions, with brief conversions.

Learn to compare unlike fractions by visualizing equal numerators; smallest denominator yields the largest. Contrast with like fractions, and practice with examples such as 1/4, 1/6, 1/8.

Learn to compare unlike fractions by creating equivalent fractions with a common denominator, then compare numerators to decide which is larger, as shown with 2/3 and 3/4.

Learn a quick cross-multiplication trick to compare unlike fractions by creating a common denominator and comparing numerators. Practice with examples like 8/9 vs 6/7 to see which is greater.

Learn how to multiply fractions by multiplying numerators and denominators, and use cancellation to simplify before multiplying, with examples like 2/3 times 4/5 and 14/7 times 2/23.

Cancel common factors between numerator and denominator before multiplying to simplify fractions. Memorize multiplication tables to quickly identify cancellations and avoid large numbers during fraction simplification.

Explore how to multiply three fractions by canceling common factors, simplifying numerators and denominators, and arriving at 1/3.

Learn to multiply mixed fractions by converting them to improper fractions, canceling common factors when possible, and converting the product back to a mixed fraction through guided examples.

Learn to multiply mixed fractions by converting them to improper fractions and cancelling factors. Focus on the current step, and practice with exercises to build speed.

Master the division of fractions by converting division to multiplication with reciprocals, understanding numerators and denominators, and applying this method to examples like 1/2 and 2/3.

Learn to divide by fractions and whole numbers using the reciprocal (transpose) of the fraction, then multiply and cancel to solve examples like 14 ÷ 7/8 and 8 ÷ 4/5.

Learn how to divide fractions by multiplying with the reciprocal, cancel factors, and convert improper results to mixed numbers through two worked examples.

Convert mixed fractions to improper fractions, then multiply by the reciprocal and cancel factors to simplify division. Practice two worked examples; more problems follow in the next lecture.

Interpret 'by' as division and 'into' as a reciprocal switch to set up multiplication. Convert mixed numbers to improper fractions, multiply by the reciprocal, and cancel to find the result.

Demonstrate the concept of addition of fractions with a common denominator using a pizza example; add numerators to obtain 3/8 and explain why denominators stay the same.

learn how to add fractions with the same denominator by summing numerators, as shown in 3/8 plus 2/8 equals 5/8, and how to find a common denominator when denominators differ.

Master adding like fractions by converting to a common denominator with equivalent fractions, then sum numerators, as shown in 1/3 + 5/6 = 7/6.

Add unlike fractions by using the least common multiple to align denominators and form equivalent fractions, or reach a common denominator like 24 and simplify.

Visualize subtracting like fractions: five sixths minus two sixths equals three sixths, which simplifies to half.

learn how to subtract unlike fractions using a word problem, convert to a common denominator via cross-multiplication, and simplify to 2/5 km.

Explore compound fractions, defined as a fraction of a fraction, and learn that off means multiplication. For example, one fourth off two thirds equals one sixth.

Learn to recognize complex fractions, identify the numerator and denominator as fractions, use division by reciprocals to simplify, and convert improper results to mixed fractions.

Explore solving a complex fraction using two methods: crosswise multiplication for addition and subtraction, and an approach based on summing denominators and using distributive property with reciprocals.

Celebrate completing the fraction for all course and download your completion certificate. Share feedback to help improve the course and guide future learners; a gift awaits in the next lecture.