Final answer:
To solve 3/8 divided by 7/10, multiply 3/8 by the reciprocal of 7/10, which is 10/7, resulting in 30/56, and then simplify to get the final answer of 15/28.
Step-by-step explanation:
To calculate 3/8 divided by 7/10, you need to multiply 3/8 by the reciprocal of 7/10, which is 10/7. Multiplication and division with fractions involve the same concepts but with one difference: when dividing, you flip the second fraction (the divisor) to find its reciprocal and then multiply. In this case, the division turns into multiplication of 3/8 and 10/7.
The process is as follows:
- Multiply the numerators: 3 × 10 = 30.
- Multiply the denominators: 8 × 7 = 56.
- Combine these results to get the new fraction: 30/56.
- Now simplify the fraction by finding the greatest common factor. Both 30 and 56 are divisible by 2, giving you 15/28 as the simplified answer.
A clear understanding of multiplying and dividing fractions is demonstrated when the content loaded correctly illustrates that 3/8 divided by 7/10 equals 15/28 when simplified.