Determine whether each pair of ratios forms a proportion. 1) 1232, 316 2) 1520, 912 3) 1.52, 68

Question

Determine whether each pair of ratios forms a proportion.  1) 1232, 316  2) 1520, 912  3) 1.52, 68

zesponderyd · Accepted Answer

Step 1 1232, 316 1232=616−38 when expresses in simplest form 316≠38 So pairs of ratios dues not form and a proportion Step 2 1520, 912 1520=34 simplest form 912=34 Simplest form 34=34 So pairs of ratios forms a proportions Step 3 1.52, 68 1.52 simplest form 68=1.52 Simplest form So pairs of ratios forms a proportion

veiga34 · Accepted Answer

Step 1  Compare: 1232 and 316  The operation of comparing fractions:  Reduce (simplify) fracctions to their lowest terms equivalents:  1232=22×325  =(22×3)÷2225÷22=38  316S already reduced to the lowest terms;  The numerator and denominator have no common prime factors; 3 is a prime number;  16=24  The fractions sorted in ascending order: 316&amp;lt;38  The initial fractions in ascending order: 316&amp;lt;1232  Step 2  Reduce (simplify) fractions to their lowest terms equivalents:  1520=3×522×5  =(3×5)÷522×5÷5}=34  912=3222×3  =32÷3(22×3)÷3=34  The fractions sorted in ascending order: 34=34  The initial fractions in ascending order: 1520=912  Step 3  The numerator of the fraction 1.52 is not an integer.  To compare or to sort fractions in ascending order at least two valid fractions are needed.

Determine whether each pair of ratios forms a proportion. 1) \frac{12}{32},\

Answered question

Answer & Explanation

New Questions in Pre-Algebra