Equivalent fractions (video) | Khan Academy

Video transcript

sol one ‘ve catch a solid pizza here, and get ‘s say that one be to cut information technology into two peer piece. permit maine cut information technology veracious over hera into two equal piece. And permit ‘s say that one feed one of those two adequate assemble. therefore let ‘s say i eat all of this right over here. What divide of the pizza rich person one consume ? well, one remove the whole and one divide information technology into deuce equal piece, and then one ate one of those part. indeed one eat 1/2 of the pizza. now, let ‘s think that rather of cut that pizza into only two equal slice, lashkar-e-taiba ‘s think alternatively that decide to cut information technology into four equal nibble. thus let ‘s hook that. thus four peer piece. so one could cut once this way and then i could cut information technology once this way. And then here one consume four equal piece. merely let ‘s say that one privation to eat the lapp sum of pizza. How many of these four adequate musical composition would i have to eat. iodine encourage you to pause the video recording and think about that. good, one would eat this piece. You could think maine eat this piece and this piece right over here. iodine ‘ve feed the same amount of the pizza. each of these piece you could think get stinger into two piece when one cut the whole pizza this way. And so immediately one have to eat two slice of the four, a oppose to one cut of the two. indeed one just feed two out of the four slice. one ‘m use different number here. here i ‘m exploitation vitamin a one indiana the numerator and two indiana the denominator. here, one ‘m practice angstrom two in the numerator and a four in the denominator. These two fraction exemplify the same measure. i corrode the same amount of pizza. If one eat 2/4 of deoxyadenosine monophosphate pizza, if one eat two out of four equal firearm, that ‘s the like divide of the pizza vitamin a if iodine eat one out of two equal piece. indeed we would state that these two thing be equivalent fraction. now permit ‘s make another matchless like this. rather of barely separate information technology into four equal piece, let ‘s watershed information technology into eight equal man. so now we could cut once comparable this. therefore nowadays we receive two equal piece. stinger once comparable this. now we have four peer man. And then separate each of those four nibble into two piece. indeed one ‘ll cut those in — indeed get ‘s see. iodine wish to form them peer man. Those practice n’t look equally peer a one would like. so that look more equal, and that look sanely equal. so now how many equal while do one induce ? i have eight peer man. merely let ‘s pronounce i desire to consume the lapp fraction of the pizza. indeed one could feed all of these nibble justly over here. well, how many of those eight peer part experience one eat ? well, one ‘ve eat one, two, three, four of those eight peer man. And therefore once again, this fraction, four of eight, oregon 4/8, be equivalent to 2/4, which be equivalent to 1/2. And you might see angstrom little piece of angstrom convention here. fail from this scenario to this scenario, one catch doubly deoxyadenosine monophosphate many peer slice. Because one have twice vitamin a many equal slice, one needed to corrode two multiplication the number of piece. so iodine multiply the denominator aside two, and one multiply the numerator aside two. If iodine multiply the numerator and the denominator by the lapp total, then one ‘m not change what that divide represent. And you see that all over here. proceed from four slice to eight slice, i swerve every slice, one turn every slice into two more slice, so one take doubly arsenic many slice. And then if iodine lack to eat the same sum, iodine experience to eat twice adenine many piece. sol all of these, 1/2, 2/4, four-spot 4/8, and iodine could keep go. iodine could dress 8/16. i could do 16/32. wholly of these would equal equivalent fraction.