Multiply Fractions: Calculate 2/3 × 5/7 Step-by-Step

Question

23×57= \frac{2}{3}\times\frac{5}{7}=

Video Solution

Solution Steps

00:00 Solve
00:03 Make sure to multiply numerator by numerator and denominator by denominator
00:06 Let's calculate the multiplications
00:09 And this is the solution to the question

Step-by-Step Solution

Let us solve the problem of multiplying the two fractions 23\frac{2}{3} and 57\frac{5}{7}.

  • Step 1: Identify the numerators and denominators. Here, the numerators are 22 and 55, and the denominators are 33 and 77.
  • Step 2: Multiply the numerators: 2×5=102 \times 5 = 10.
  • Step 3: Multiply the denominators: 3×7=213 \times 7 = 21.
  • Step 4: Put the results together in a new fraction: 1021\frac{10}{21}.
  • Step 5: Simplify the fraction if needed. In this case, 1021\frac{10}{21} is already in its simplest form as 1010 and 2121 have no common factors besides 11.

Therefore, the solution to the problem 23×57 \frac{2}{3} \times \frac{5}{7} is 1021\frac{10}{21}.

Answer

1021 \frac{10}{21}