भिन्नों के विभाजन की समीक्षा

Review the basics of dividing fractions, and try some practice problems.

Dividing fractions

Dividing fractions is the same as multiplying by the reciprocal (inverse).
उदाहरण के लिए:
start fraction, 3, divided by, 4, end fraction, start color goldD, divided by, end color goldD, start fraction, start color blueD, 2, end color blueD, divided by, start color greenD, 3, end color greenD, end fractionequals, start fraction, 3, divided by, 4, end fraction, start color goldD, times, end color goldD, start fraction, start color greenD, 3, end color greenD, divided by, start color blueD, 2, end color blueD, end fraction
Once we have a multiplication problem, we multiply the numerators then multiply the denominators.
Example 1: Fractions
start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, question mark
start fraction, 8, divided by, 3, end fraction का व्युत्क्रम start fraction, 3, divided by, 8, end fraction है|
इसलिए:
start fraction, 3, divided by, 2, end fraction, divided by, start fraction, 8, divided by, 3, end fraction, equals, start fraction, 3, divided by, 2, end fraction, times, start fraction, 3, divided by, 8, end fraction
empty space, equals, start fraction, 3, times, 3, divided by, 2, times, 8, end fraction
empty space, equals, start fraction, 9, divided by, 16, end fraction
Example 2: Mixed numbers
3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction, equals
Let's start by converting the mixed numbers to fractions.
empty space, 3, start fraction, 1, divided by, 2, end fraction, divided by, 1, start fraction, 1, divided by, 4, end fraction
equals, start fraction, 7, divided by, 2, end fraction, divided by, start fraction, 5, divided by, 4, end fraction
equals, start fraction, 7, divided by, 2, end fraction, dot, start fraction, 4, divided by, 5, end fraction, space, space, space, space, space, space, space, M, u, l, t, i, p, l, y, space, b, y, space, t, h, e, space, r, e, c, i, p, r, o, c, a, l, point
equals, start fraction, 7, divided by, start color blueD, 1, end color blueD, end fraction, dot, start fraction, start color blueD, 2, end color blueD, divided by, 5, end fraction
equals, start fraction, 14, divided by, 5, end fraction, space, o, r, space, 2, start fraction, 4, divided by, 5, end fraction
Want to learn more about dividing fractions? Check out this video.
Want to review multiplying fractions? Check out this article.

अभ्यास

Problem 1
start fraction, 3, divided by, 5, end fraction, divided by, start fraction, 1, divided by, 9, end fraction, equals, question mark
  • आपका उत्तर होना चाहिए
  • 6 की तरह एक पूर्णांक,
  • एक * 3, slash, 5 की तरह सरलीकृत उचित * अंश
  • एक * 7, slash, 4 की तरह सरलीकृत अनुचित * अंश
  • 1, space, 3, slash, 4 की तरह एक मिश्रित संख्या
  • एक * सटीक * दशमलव, जैसे कि 0.75
  • पाई का गुणज, जैसे 12, space, p, i अथवा 2, slash, 3, space, p, i

Want to try more problems like this? Check out this exercise.