4 ³⁄₅ × 7 ¹⁄₂ =

Question

4 ³⁄₅ × 7 ¹⁄₂ =

Quizplus · Accepted Answer

Step 1: Convert 4 ³⁄₅ and 7 ¹⁄₂ to improper fractions to make multiplication easier. Use the rule a ^b/_c = ^{(ac + b)}/_c to convert a mixed number to an improper fraction. In words, you multiply the denominator (bottom number) by the whole number and then add the numerator. Put that number over the denominator to create the improper fraction. 11ec0fda_98d6_971a_a67f_3f32b8b75489_NR0004_00 Step 2: Simplify. 11ec0fda_98d6_971b_a67f_55ab2435e5c8_NR0004_00 Step 3: Use this rule: ^a/_b × ^c/_d = ^ac/_bdto multiply fractions. 11ec0fda_98d6_971c_a67f_55818d4d81c7_NR0004_00 Step 4: Simplify. 23 x 15 = 345 and 5 x 2 = 10. 11ec0fda_98d6_971d_a67f_eb9ec63cbcd3_NR0004_00 Step 5: Reduce the fraction. Both the numerator (345) and denominator (10) are divisible by 5. 11ec0fda_98d6_971e_a67f_bd37c570d23d_NR0004_00 Step 6: Convert to a mixed fraction. To convert to a mixed fraction, we divide the numerator by the denominator. The quotient is the whole number. Any remainder stays in the numerator. 11ec0fda_98d6_971f_a67f_ab602be2afbd_NR0004_00 Answer: 34 ¹⁄₂

4 3⁄5 × 7 1⁄2 =

4 ³⁄₅ × 7 ¹⁄₂ =