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UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Dividing Common Fractions (Algebra 1.1). How many one-sixths of a pie are there in two-and-a-half pies?. UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Dividing Common Fractions (Algebra 1.1).
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UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTSDividing Common Fractions (Algebra 1.1) How many one-sixths of a pie are there in two-and-a-half pies?
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTSDividing Common Fractions (Algebra 1.1) • This problem requires us to divide two fractions. First, we will convert the mixed number “two-and-a-half” to a fraction… How many one-sixths of a pie are there in two-and-a-half pies? + 2 = x 1 5 2 2
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTSDividing Common Fractions (Algebra 1.1) • Now we have to divide five halves by one-sixth… • “Flip” the divisor… How many one-sixths of a pie are there in two-and-a-half pies? = = 5 1 5 6 2 6 2 1
UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTSDividing Common Fractions (Algebra 1.1) • And proceed just as if you were multiplying, by multiplying across. • And simplify the quotient. • There are 15 sixths of a pie in two-and-a-half pies. How many one-sixths of a pie are there in two-and-a-half pies? x = 30 30 2 2 5 6 2 1 = 15